Greatest Common Factor of 1658/771, 7920/4016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1658/771, 7920/4016

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 1658/771,7920/4016

Given fractions are 1658/771,7920/4016

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1658,7920

Greatest Common Factor of Numerators i.e. GCF of 1658,7920 is 2 .

LCM of Denominators means LCM of 771,4016 as per the given fractions.

LCM of 771,4016 is 3096336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1658,7920

GCF of Fractions 1658/771,7920/4016 is 2/3096336

2 1658, 7920
829, 3960

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

Greatest Common Factor of 1658,7920 By Matching Biggest Common Factor Method

Greatest Common Factor of 1658,7920 By Matching Biggest Common Factor Method

Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1,2,829,1658

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Greatest Common Factor

We found the factors 1658,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 1658,7920 is 2.

Lets's calculate LCM of 771,4016

Given numbers has no common factors except 1. So, there LCM is their product i.e 3096336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3096336

Therefore, the GCF of Fractions 1658/771,7920/4016 is 2/3096336

Least Common Multiple of 771,4016 with GCF Formula

Least Common Multiple of 771,4016 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 771,4016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,4016) = 1

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

GCF(771,4016) x common factors =1 x 1 = 1

LCM(771,4016) = ( 771 × 4016 ) / 1

LCM(771,4016) = 3096336 / 1

LCM(771,4016) = 3096336


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1658/771, 7920/4016

1. 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.

2. What is the GCF of Fractions for 1658/771, 7920/4016?

Answer: GCF of Numerators as per given numbers 1658/771, 7920/4016 is

GCF of Numerators i.e. for 1658,7920 is 2

LCM of denominators i.e. for 771,4016 is 3096336.

Thus, GCF of Fractions is 2/3096336.Finally, GCF of Fractions for 1658/771, 7920/4016 is 2/3096336.