Greatest Common Factor of 780/3893, 525/3641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/3893, 525/3641

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 780/3893,525/3641

Given fractions are 780/3893,525/3641

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 780,525

Greatest Common Factor of Numerators i.e. GCF of 780,525 is 15 .

LCM of Denominators means LCM of 3893,3641 as per the given fractions.

LCM of 3893,3641 is 14174413 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,525

GCF of Fractions 780/3893,525/3641 is 15/14174413

3 780, 525
5 260, 175
52, 35

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 780,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,525 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 780,525 . The biggest common factor number is the GCF number.
So the greatest common factor 780,525 is 15.

Lets's calculate LCM of 3893,3641

Given numbers has no common factors except 1. So, there LCM is their product i.e 14174413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/14174413

Therefore, the GCF of Fractions 780/3893,525/3641 is 15/14174413

Least Common Multiple of 3893,3641 with GCF Formula

Least Common Multiple of 3893,3641 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 3893,3641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3893,3641) = 1

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

GCF(3893,3641) x common factors =1 x 1 = 1

LCM(3893,3641) = ( 3893 × 3641 ) / 1

LCM(3893,3641) = 14174413 / 1

LCM(3893,3641) = 14174413


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 780/3893, 525/3641

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 780/3893, 525/3641?

Answer: GCF of Numerators as per given numbers 780/3893, 525/3641 is

GCF of Numerators i.e. for 780,525 is 15

LCM of denominators i.e. for 3893,3641 is 14174413.

Thus, GCF of Fractions is 15/14174413.Finally, GCF of Fractions for 780/3893, 525/3641 is 15/14174413.