How to Find GCF of 2942/688, 6939/7485?

GCF of 2942/688, 6939/7485

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 2942/688, 6939/7485 i.e 1/5149680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2942/688, 6939/7485.

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 2942/688,6939/7485?

Given fractions are 2942/688,6939/7485

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 2942/688,6939/7485, numerators are 2942,6939

Denominators are 688,7485

The GCF of 2942,6939 is 1 .

LCM of 688,7485 is 5149680.

The greatest common factor of 2942/688,6939/7485 = [GCF of 2942,6939]/[LCM of 688,7485]= 1/5149680

Therefore, the GCF of 2942/688,6939/7485 is 1/5149680.

Greatest Common Factor of 2942,6939

To find the highest common factor of 2942,6939, we have to find the factors of both numbers and list the highest common factor.

The factors of 2942 are 1, 2, 1471, 2942

The factors of 6939 are 1, 3, 9, 27, 257, 771, 2313, 6939

The HCF of 2942,6939 is 1.

Lets's calculate GCF of 2942,6939

Greatest Common Factor (GCF) of 2942,6939 By Common Division

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

Greatest Common Factor of 2942,6939 By Matching Biggest Common Factor Method

Now, list down the factors of 2942

1,2,1471,2942

Now, list down the factors of 6939

1,3,9,27,257,771,2313,6939

Greatest Common Factor

We found the factors 2942,6939 . The biggest common factor number is the GCF number.
So the greatest common factor 2942,6939 is 1.

Lets's calculate LCM of 688,7485

Lowest Common Multiple of 688,7485 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5149680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5149680

Therefore, the GCF of Fractions 2942/688,6939/7485 is 1/5149680

Least Common Multiple of 688,7485 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 688,7485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,7485) = 1

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

GCF(688,7485) x common factors =1 x 1 = 1

LCM(688,7485) = ( 688 × 7485 ) / 1

LCM(688,7485) = 5149680 / 1

LCM(688,7485) = 5149680

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FAQs on GCF of Fractions of 2942/688, 6939/7485

1. What is the HCF of 2942,6939?

The HCF of 2942,6939 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 2942/688, 6939/7485?

Answer: GCF of Numerators as per given numbers 2942/688, 6939/7485 is

GCF of Numerators i.e. for 2942,6939 is 1

LCM of denominators i.e. for 688,7485 is 5149680.

Thus, GCF of Fractions is 1/5149680.Finally, GCF of Fractions for 2942/688, 6939/7485 is 1/5149680.