How to Find GCF of 709/938, 3920/6542?

GCF of 709/938, 3920/6542

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 709/938, 3920/6542 i.e 1/3068198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 709/938, 3920/6542.

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 709/938,3920/6542?

Given fractions are 709/938,3920/6542

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 709/938,3920/6542, numerators are 709,3920

Denominators are 938,6542

The GCF of 709,3920 is 1 .

LCM of 938,6542 is 3068198.

The greatest common factor of 709/938,3920/6542 = [GCF of 709,3920]/[LCM of 938,6542]= 1/3068198

Therefore, the GCF of 709/938,3920/6542 is 1/3068198.

Greatest Common Factor of 709,3920

To find the highest common factor of 709,3920, we have to find the factors of both numbers and list the highest common factor.

The factors of 709 are 1, 709

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 709,3920 is 1.

Lets's calculate GCF of 709,3920

Greatest Common Factor (GCF) of 709,3920 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 709,3920 By Matching Biggest Common Factor Method

Now, list down the factors of 709

1,709

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 709,3920 . The biggest common factor number is the GCF number.
So the greatest common factor 709,3920 is 1.

Lets's calculate LCM of 938,6542

Lowest Common Multiple of 938,6542 using Common Division

2	938, 6542
	469, 3271

∴ So the LCM of the given numbers is 2 x 469 x 3271 = 3068198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3068198

Therefore, the GCF of Fractions 709/938,3920/6542 is 1/3068198

Least Common Multiple of 938,6542 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 938,6542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,6542) = 2

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

GCF(938,6542) x common factors =2 x 1 = 2

LCM(938,6542) = ( 938 × 6542 ) / 2

LCM(938,6542) = 6136396 / 2

LCM(938,6542) = 3068198

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 709/938, 3920/6542

1. What is the HCF of 709,3920?

The HCF of 709,3920 is 1

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 709/938, 3920/6542?

Answer: GCF of Numerators as per given numbers 709/938, 3920/6542 is

GCF of Numerators i.e. for 709,3920 is 1

LCM of denominators i.e. for 938,6542 is 3068198.

Thus, GCF of Fractions is 1/3068198.Finally, GCF of Fractions for 709/938, 3920/6542 is 1/3068198.