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GCF of 5118/702, 5416/8766

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 5118/702, 5416/8766 i.e 2/341874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5118/702, 5416/8766.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5118/702,5416/8766?

Given fractions are 5118/702,5416/8766

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 5118/702,5416/8766, numerators are 5118,5416

Denominators are 702,8766

The GCF of 5118,5416 is 2 .

LCM of 702,8766 is 341874.

The greatest common factor of 5118/702,5416/8766 = [GCF of 5118,5416]/[LCM of 702,8766]= 2/341874

Therefore, the GCF of 5118/702,5416/8766 is 2/341874.

Greatest Common Factor of 5118,5416

To find the highest common factor of 5118,5416, we have to find the factors of both numbers and list the highest common factor.

The factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118

The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416

The HCF of 5118,5416 is 2.

Lets's calculate GCF of 5118,5416

Greatest Common Factor (GCF) of 5118,5416 By Common Division

2 5118, 5416
2559, 2708

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

Greatest Common Factor of 5118,5416 By Matching Biggest Common Factor Method

Greatest Common Factor of 5118,5416 By Matching Biggest Common Factor Method

Now, list down the factors of 5118

:

1,2,3,6,853,1706,2559,5118

Now, list down the factors of 5416

:

1,2,4,8,677,1354,2708,5416

Greatest Common Factor

We found the factors 5118,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 5118,5416 is 2.


Lets's calculate LCM of 702,8766

Lowest Common Multiple of 702,8766 using Common Division

2 702, 8766
3 351, 4383
3 117, 1461
39, 487

∴ So the LCM of the given numbers is 2 x 3 x 3 x 39 x 487 = 341874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/341874

Therefore, the GCF of Fractions 5118/702,5416/8766 is 2/341874

Least Common Multiple of 702,8766 with GCF Formula

Least Common Multiple of 702,8766 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 702,8766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,8766) = 18

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

GCF(702,8766) x common factors =18 x 1 = 18

LCM(702,8766) = ( 702 × 8766 ) / 18

LCM(702,8766) = 6153732 / 18

LCM(702,8766) = 341874


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5118/702, 5416/8766

1. What is the HCF of 5118,5416?

The HCF of 5118,5416 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 5118/702, 5416/8766?

Answer: GCF of Numerators as per given numbers 5118/702, 5416/8766 is

GCF of Numerators i.e. for 5118,5416 is 2

LCM of denominators i.e. for 702,8766 is 341874.

Thus, GCF of Fractions is 2/341874.Finally, GCF of Fractions for 5118/702, 5416/8766 is 2/341874.