How to Find GCF of 1388/281, 3920/501?

GCF of 1388/281, 3920/501

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 1388/281, 3920/501 i.e 4/140781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1388/281, 3920/501.

Enter two or more fractions separated by "commas"

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

What is the GCF of 1388/281,3920/501?

Given fractions are 1388/281,3920/501

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 1388/281,3920/501, numerators are 1388,3920

Denominators are 281,501

The GCF of 1388,3920 is 4 .

LCM of 281,501 is 140781.

The greatest common factor of 1388/281,3920/501 = [GCF of 1388,3920]/[LCM of 281,501]= 4/140781

Therefore, the GCF of 1388/281,3920/501 is 4/140781.

Greatest Common Factor of 1388,3920

To find the highest common factor of 1388,3920, we have to find the factors of both numbers and list the highest common factor.

The factors of 1388 are 1, 2, 4, 347, 694, 1388

The factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920

The HCF of 1388,3920 is 4.

Lets's calculate GCF of 1388,3920

Greatest Common Factor (GCF) of 1388,3920 By Common Division

2	1388, 3920
2	694, 1960
	347, 980

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1388,3920 By Matching Biggest Common Factor Method

Now, list down the factors of 1388

1,2,4,347,694,1388

Now, list down the factors of 3920

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Greatest Common Factor

We found the factors 1388,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 1388,3920 is 4.

Lets's calculate LCM of 281,501

Lowest Common Multiple of 281,501 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 140781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/140781

Therefore, the GCF of Fractions 1388/281,3920/501 is 4/140781

Least Common Multiple of 281,501 with GCF Formula

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

We need to calculate greatest common factor of 281,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,501) = 1

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

GCF(281,501) x common factors =1 x 1 = 1

LCM(281,501) = ( 281 × 501 ) / 1

LCM(281,501) = 140781 / 1

LCM(281,501) = 140781

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1388/281, 3920/501

1. What is the HCF of 1388,3920?

The HCF of 1388,3920 is 4

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 1388/281, 3920/501?

Answer: GCF of Numerators as per given numbers 1388/281, 3920/501 is

GCF of Numerators i.e. for 1388,3920 is 4

LCM of denominators i.e. for 281,501 is 140781.

Thus, GCF of Fractions is 4/140781.Finally, GCF of Fractions for 1388/281, 3920/501 is 4/140781.