How to Find GCF of 4702/158, 7790/5612?

GCF of 4702/158, 7790/5612

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 4702/158, 7790/5612 i.e 2/443348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4702/158, 7790/5612.

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 4702/158,7790/5612?

Given fractions are 4702/158,7790/5612

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 4702/158,7790/5612, numerators are 4702,7790

Denominators are 158,5612

The GCF of 4702,7790 is 2 .

LCM of 158,5612 is 443348.

The greatest common factor of 4702/158,7790/5612 = [GCF of 4702,7790]/[LCM of 158,5612]= 2/443348

Therefore, the GCF of 4702/158,7790/5612 is 2/443348.

Greatest Common Factor of 4702,7790

To find the highest common factor of 4702,7790, we have to find the factors of both numbers and list the highest common factor.

The factors of 4702 are 1, 2, 2351, 4702

The factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790

The HCF of 4702,7790 is 2.

Lets's calculate GCF of 4702,7790

Greatest Common Factor (GCF) of 4702,7790 By Common Division

2	4702, 7790
	2351, 3895

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

Greatest Common Factor of 4702,7790 By Matching Biggest Common Factor Method

Now, list down the factors of 4702

1,2,2351,4702

Now, list down the factors of 7790

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Greatest Common Factor

We found the factors 4702,7790 . The biggest common factor number is the GCF number.
So the greatest common factor 4702,7790 is 2.

Lets's calculate LCM of 158,5612

Lowest Common Multiple of 158,5612 using Common Division

2	158, 5612
	79, 2806

∴ So the LCM of the given numbers is 2 x 79 x 2806 = 443348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/443348

Therefore, the GCF of Fractions 4702/158,7790/5612 is 2/443348

Least Common Multiple of 158,5612 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 158,5612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,5612) = 2

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

GCF(158,5612) x common factors =2 x 1 = 2

LCM(158,5612) = ( 158 × 5612 ) / 2

LCM(158,5612) = 886696 / 2

LCM(158,5612) = 443348

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FAQs on GCF of Fractions of 4702/158, 7790/5612

1. What is the HCF of 4702,7790?

The HCF of 4702,7790 is 2

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 4702/158, 7790/5612?

Answer: GCF of Numerators as per given numbers 4702/158, 7790/5612 is

GCF of Numerators i.e. for 4702,7790 is 2

LCM of denominators i.e. for 158,5612 is 443348.

Thus, GCF of Fractions is 2/443348.Finally, GCF of Fractions for 4702/158, 7790/5612 is 2/443348.