How to Find GCF of 5112/766, 3463/1220?

GCF of 5112/766, 3463/1220

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 5112/766, 3463/1220 i.e 1/467260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5112/766, 3463/1220.

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 5112/766,3463/1220?

Given fractions are 5112/766,3463/1220

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 5112/766,3463/1220, numerators are 5112,3463

Denominators are 766,1220

The GCF of 5112,3463 is 1 .

LCM of 766,1220 is 467260.

The greatest common factor of 5112/766,3463/1220 = [GCF of 5112,3463]/[LCM of 766,1220]= 1/467260

Therefore, the GCF of 5112/766,3463/1220 is 1/467260.

Greatest Common Factor of 5112,3463

To find the highest common factor of 5112,3463, we have to find the factors of both numbers and list the highest common factor.

The factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112

The factors of 3463 are 1, 3463

The HCF of 5112,3463 is 1.

Lets's calculate GCF of 5112,3463

Greatest Common Factor (GCF) of 5112,3463 By Common Division

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

Greatest Common Factor of 5112,3463 By Matching Biggest Common Factor Method

Now, list down the factors of 5112

1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112

Now, list down the factors of 3463

1,3463

Greatest Common Factor

We found the factors 5112,3463 . The biggest common factor number is the GCF number.
So the greatest common factor 5112,3463 is 1.

Lets's calculate LCM of 766,1220

Lowest Common Multiple of 766,1220 using Common Division

2	766, 1220
	383, 610

∴ So the LCM of the given numbers is 2 x 383 x 610 = 467260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467260

Therefore, the GCF of Fractions 5112/766,3463/1220 is 1/467260

Least Common Multiple of 766,1220 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 766,1220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,1220) = 2

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

GCF(766,1220) x common factors =2 x 1 = 2

LCM(766,1220) = ( 766 × 1220 ) / 2

LCM(766,1220) = 934520 / 2

LCM(766,1220) = 467260

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5112/766, 3463/1220

1. What is the HCF of 5112,3463?

The HCF of 5112,3463 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 5112/766, 3463/1220?

Answer: GCF of Numerators as per given numbers 5112/766, 3463/1220 is

GCF of Numerators i.e. for 5112,3463 is 1

LCM of denominators i.e. for 766,1220 is 467260.

Thus, GCF of Fractions is 1/467260.Finally, GCF of Fractions for 5112/766, 3463/1220 is 1/467260.