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 10/343, 25/8807

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 10/343, 25/8807 i.e 5/3020801 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/343, 25/8807.

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 10/343,25/8807?

Given fractions are 10/343,25/8807

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 10/343,25/8807, numerators are 10,25

Denominators are 343,8807

The GCF of 10,25 is 5 .

LCM of 343,8807 is 3020801.

The greatest common factor of 10/343,25/8807 = [GCF of 10,25]/[LCM of 343,8807]= 5/3020801

Therefore, the GCF of 10/343,25/8807 is 5/3020801.

Greatest Common Factor of 10,25

To find the highest common factor of 10,25, we have to find the factors of both numbers and list the highest common factor.

The factors of 10 are 1, 2, 5, 10

The factors of 25 are 1, 5, 25

The HCF of 10,25 is 5.

Lets's calculate GCF of 10,25

Greatest Common Factor (GCF) of 10,25 By Common Division

5 10, 25
2, 5

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

Greatest Common Factor of 10,25 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,25 By Matching Biggest Common Factor Method

Now, list down the factors of 10

:

1,2,5,10

Now, list down the factors of 25

:

1,5,25

Greatest Common Factor

We found the factors 10,25 . The biggest common factor number is the GCF number.
So the greatest common factor 10,25 is 5.

Lets's calculate LCM of 343,8807

Lowest Common Multiple of 343,8807 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3020801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3020801

Therefore, the GCF of Fractions 10/343,25/8807 is 5/3020801

Least Common Multiple of 343,8807 with GCF Formula

Least Common Multiple of 343,8807 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 343,8807 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,8807) = 1

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

GCF(343,8807) x common factors =1 x 1 = 1

LCM(343,8807) = ( 343 × 8807 ) / 1

LCM(343,8807) = 3020801 / 1

LCM(343,8807) = 3020801


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 10/343, 25/8807

1. What is the HCF of 10,25?

The HCF of 10,25 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 10/343, 25/8807?

Answer: GCF of Numerators as per given numbers 10/343, 25/8807 is

GCF of Numerators i.e. for 10,25 is 5

LCM of denominators i.e. for 343,8807 is 3020801.

Thus, GCF of Fractions is 5/3020801.Finally, GCF of Fractions for 10/343, 25/8807 is 5/3020801.