Greatest Common Factor of 3692/77, 3828/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3692/77, 3828/795

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 3692/77,3828/795

Given fractions are 3692/77,3828/795

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 3692,3828

Greatest Common Factor of Numerators i.e. GCF of 3692,3828 is 4 .

LCM of Denominators means LCM of 77,795 as per the given fractions.

LCM of 77,795 is 61215 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3692,3828

GCF of Fractions 3692/77,3828/795 is 4/61215

2 3692, 3828
2 1846, 1914
923, 957

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3692,3828 By Matching Biggest Common Factor Method

Greatest Common Factor of 3692,3828 By Matching Biggest Common Factor Method

Factors of 3692

List of positive integer factors of 3692 that divides 3692 without a remainder.

1,2,4,13,26,52,71,142,284,923,1846,3692

Factors of 3828

List of positive integer factors of 3828 that divides 3828 without a remainder.

1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828

Greatest Common Factor

We found the factors 3692,3828 . The biggest common factor number is the GCF number.
So the greatest common factor 3692,3828 is 4.


Lets's calculate LCM of 77,795

Given numbers has no common factors except 1. So, there LCM is their product i.e 61215

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61215

Therefore, the GCF of Fractions 3692/77,3828/795 is 4/61215

Least Common Multiple of 77,795 with GCF Formula

Least Common Multiple of 77,795 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 77,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,795) = 1

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

GCF(77,795) x common factors =1 x 1 = 1

LCM(77,795) = ( 77 × 795 ) / 1

LCM(77,795) = 61215 / 1

LCM(77,795) = 61215


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3692/77, 3828/795

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 3692/77, 3828/795?

Answer: GCF of Numerators as per given numbers 3692/77, 3828/795 is

GCF of Numerators i.e. for 3692,3828 is 4

LCM of denominators i.e. for 77,795 is 61215.

Thus, GCF of Fractions is 4/61215.Finally, GCF of Fractions for 3692/77, 3828/795 is 4/61215.