How to Find GCF of 7918/944, 5202/642?

GCF of 7918/944, 5202/642

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 7918/944, 5202/642 i.e 2/303024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7918/944, 5202/642.

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 7918/944,5202/642?

Given fractions are 7918/944,5202/642

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 7918/944,5202/642, numerators are 7918,5202

Denominators are 944,642

The GCF of 7918,5202 is 2 .

LCM of 944,642 is 303024.

The greatest common factor of 7918/944,5202/642 = [GCF of 7918,5202]/[LCM of 944,642]= 2/303024

Therefore, the GCF of 7918/944,5202/642 is 2/303024.

Greatest Common Factor of 7918,5202

To find the highest common factor of 7918,5202, we have to find the factors of both numbers and list the highest common factor.

The factors of 7918 are 1, 2, 37, 74, 107, 214, 3959, 7918

The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202

The HCF of 7918,5202 is 2.

Lets's calculate GCF of 7918,5202

Greatest Common Factor (GCF) of 7918,5202 By Common Division

2	7918, 5202
	3959, 2601

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

Greatest Common Factor of 7918,5202 By Matching Biggest Common Factor Method

Now, list down the factors of 7918

1,2,37,74,107,214,3959,7918

Now, list down the factors of 5202

1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202

Greatest Common Factor

We found the factors 7918,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 7918,5202 is 2.

Lets's calculate LCM of 944,642

Lowest Common Multiple of 944,642 using Common Division

2	944, 642
	472, 321

∴ So the LCM of the given numbers is 2 x 472 x 321 = 303024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/303024

Therefore, the GCF of Fractions 7918/944,5202/642 is 2/303024

Least Common Multiple of 944,642 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 944,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,642) = 2

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

GCF(944,642) x common factors =2 x 1 = 2

LCM(944,642) = ( 944 × 642 ) / 2

LCM(944,642) = 606048 / 2

LCM(944,642) = 303024

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FAQs on GCF of Fractions of 7918/944, 5202/642

1. What is the HCF of 7918,5202?

The HCF of 7918,5202 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 7918/944, 5202/642?

Answer: GCF of Numerators as per given numbers 7918/944, 5202/642 is

GCF of Numerators i.e. for 7918,5202 is 2

LCM of denominators i.e. for 944,642 is 303024.

Thus, GCF of Fractions is 2/303024.Finally, GCF of Fractions for 7918/944, 5202/642 is 2/303024.