How to Find GCF of 7876/353, 1518/6477?

GCF of 7876/353, 1518/6477

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 7876/353, 1518/6477 i.e 22/2286381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7876/353, 1518/6477.

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 7876/353,1518/6477?

Given fractions are 7876/353,1518/6477

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 7876/353,1518/6477, numerators are 7876,1518

Denominators are 353,6477

The GCF of 7876,1518 is 22 .

LCM of 353,6477 is 2286381.

The greatest common factor of 7876/353,1518/6477 = [GCF of 7876,1518]/[LCM of 353,6477]= 22/2286381

Therefore, the GCF of 7876/353,1518/6477 is 22/2286381.

Greatest Common Factor of 7876,1518

To find the highest common factor of 7876,1518, we have to find the factors of both numbers and list the highest common factor.

The factors of 7876 are 1, 2, 4, 11, 22, 44, 179, 358, 716, 1969, 3938, 7876

The factors of 1518 are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518

The HCF of 7876,1518 is 22.

Lets's calculate GCF of 7876,1518

Greatest Common Factor (GCF) of 7876,1518 By Common Division

2	7876, 1518
11	3938, 759
	358, 69

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 7876,1518 By Matching Biggest Common Factor Method

Now, list down the factors of 7876

1,2,4,11,22,44,179,358,716,1969,3938,7876

Now, list down the factors of 1518

1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518

Greatest Common Factor

We found the factors 7876,1518 . The biggest common factor number is the GCF number.
So the greatest common factor 7876,1518 is 22.

Lets's calculate LCM of 353,6477

Lowest Common Multiple of 353,6477 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2286381

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/2286381

Therefore, the GCF of Fractions 7876/353,1518/6477 is 22/2286381

Least Common Multiple of 353,6477 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 353,6477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,6477) = 1

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

GCF(353,6477) x common factors =1 x 1 = 1

LCM(353,6477) = ( 353 × 6477 ) / 1

LCM(353,6477) = 2286381 / 1

LCM(353,6477) = 2286381

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FAQs on GCF of Fractions of 7876/353, 1518/6477

1. What is the HCF of 7876,1518?

The HCF of 7876,1518 is 22

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 7876/353, 1518/6477?

Answer: GCF of Numerators as per given numbers 7876/353, 1518/6477 is

GCF of Numerators i.e. for 7876,1518 is 22

LCM of denominators i.e. for 353,6477 is 2286381.

Thus, GCF of Fractions is 22/2286381.Finally, GCF of Fractions for 7876/353, 1518/6477 is 22/2286381.