LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 355/379, 280/989

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 355/379, 280/989 i.e 5/374831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/379, 280/989.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 355/379,280/989?

Given fractions are 355/379,280/989

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 355/379,280/989, numerators are 355,280

Denominators are 379,989

The GCF of 355,280 is 5 .

LCM of 379,989 is 374831.

The greatest common factor of 355/379,280/989 = [GCF of 355,280]/[LCM of 379,989]= 5/374831

Therefore, the GCF of 355/379,280/989 is 5/374831.

Greatest Common Factor of 355,280

To find the highest common factor of 355,280, we have to find the factors of both numbers and list the highest common factor.

The factors of 355 are 1, 5, 71, 355

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 355,280 is 5.

Lets's calculate GCF of 355,280

Greatest Common Factor (GCF) of 355,280 By Common Division

5 355, 280
71, 56

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 355,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,280 By Matching Biggest Common Factor Method

Now, list down the factors of 355

:

1,5,71,355

Now, list down the factors of 280

:

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 355,280 . The biggest common factor number is the GCF number.
So the greatest common factor 355,280 is 5.

Lets's calculate LCM of 379,989

Lowest Common Multiple of 379,989 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 374831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/374831

Therefore, the GCF of Fractions 355/379,280/989 is 5/374831

Least Common Multiple of 379,989 with GCF Formula

Least Common Multiple of 379,989 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 379,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,989) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(379,989) x common factors =1 x 1 = 1

LCM(379,989) = ( 379 × 989 ) / 1

LCM(379,989) = 374831 / 1

LCM(379,989) = 374831


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 355/379, 280/989

1. What is the HCF of 355,280?

The HCF of 355,280 is 5

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 355/379, 280/989?

Answer: GCF of Numerators as per given numbers 355/379, 280/989 is

GCF of Numerators i.e. for 355,280 is 5

LCM of denominators i.e. for 379,989 is 374831.

Thus, GCF of Fractions is 5/374831.Finally, GCF of Fractions for 355/379, 280/989 is 5/374831.