How to Find GCF of 8749/472, 3116/5808?

GCF of 8749/472, 3116/5808

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 8749/472, 3116/5808 i.e 1/342672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8749/472, 3116/5808.

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 8749/472,3116/5808?

Given fractions are 8749/472,3116/5808

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 8749/472,3116/5808, numerators are 8749,3116

Denominators are 472,5808

The GCF of 8749,3116 is 1 .

LCM of 472,5808 is 342672.

The greatest common factor of 8749/472,3116/5808 = [GCF of 8749,3116]/[LCM of 472,5808]= 1/342672

Therefore, the GCF of 8749/472,3116/5808 is 1/342672.

Greatest Common Factor of 8749,3116

To find the highest common factor of 8749,3116, we have to find the factors of both numbers and list the highest common factor.

The factors of 8749 are 1, 13, 673, 8749

The factors of 3116 are 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116

The HCF of 8749,3116 is 1.

Lets's calculate GCF of 8749,3116

Greatest Common Factor (GCF) of 8749,3116 By Common Division

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

Greatest Common Factor of 8749,3116 By Matching Biggest Common Factor Method

Now, list down the factors of 8749

1,13,673,8749

Now, list down the factors of 3116

1,2,4,19,38,41,76,82,164,779,1558,3116

Greatest Common Factor

We found the factors 8749,3116 . The biggest common factor number is the GCF number.
So the greatest common factor 8749,3116 is 1.

Lets's calculate LCM of 472,5808

Lowest Common Multiple of 472,5808 using Common Division

2	472, 5808
2	236, 2904
2	118, 1452
	59, 726

∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 726 = 342672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342672

Therefore, the GCF of Fractions 8749/472,3116/5808 is 1/342672

Least Common Multiple of 472,5808 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 472,5808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,5808) = 8

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

GCF(472,5808) x common factors =8 x 1 = 8

LCM(472,5808) = ( 472 × 5808 ) / 8

LCM(472,5808) = 2741376 / 8

LCM(472,5808) = 342672

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FAQs on GCF of Fractions of 8749/472, 3116/5808

1. What is the HCF of 8749,3116?

The HCF of 8749,3116 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 8749/472, 3116/5808?

Answer: GCF of Numerators as per given numbers 8749/472, 3116/5808 is

GCF of Numerators i.e. for 8749,3116 is 1

LCM of denominators i.e. for 472,5808 is 342672.

Thus, GCF of Fractions is 1/342672.Finally, GCF of Fractions for 8749/472, 3116/5808 is 1/342672.