Greatest Common Factor of 3620/865, 6550/1750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3620/865, 6550/1750

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 3620/865,6550/1750

Given fractions are 3620/865,6550/1750

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 3620,6550

Greatest Common Factor of Numerators i.e. GCF of 3620,6550 is 10 .

LCM of Denominators means LCM of 865,1750 as per the given fractions.

LCM of 865,1750 is 302750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3620,6550

GCF of Fractions 3620/865,6550/1750 is 10/302750

2 3620, 6550
5 1810, 3275
362, 655

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3620,6550 By Matching Biggest Common Factor Method

Greatest Common Factor of 3620,6550 By Matching Biggest Common Factor Method

Factors of 3620

List of positive integer factors of 3620 that divides 3620 without a remainder.

1,2,4,5,10,20,181,362,724,905,1810,3620

Factors of 6550

List of positive integer factors of 6550 that divides 6550 without a remainder.

1,2,5,10,25,50,131,262,655,1310,3275,6550

Greatest Common Factor

We found the factors 3620,6550 . The biggest common factor number is the GCF number.
So the greatest common factor 3620,6550 is 10.

Lets's calculate LCM of 865,1750

5 865, 1750
173, 350

∴ So the LCM of the given numbers is 5 x 173 x 350 = 302750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/302750

Therefore, the GCF of Fractions 3620/865,6550/1750 is 10/302750

Least Common Multiple of 865,1750 with GCF Formula

Least Common Multiple of 865,1750 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 865,1750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,1750) = 5

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

GCF(865,1750) x common factors =5 x 1 = 5

LCM(865,1750) = ( 865 × 1750 ) / 5

LCM(865,1750) = 1513750 / 5

LCM(865,1750) = 302750


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 3620/865, 6550/1750

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 3620/865, 6550/1750?

Answer: GCF of Numerators as per given numbers 3620/865, 6550/1750 is

GCF of Numerators i.e. for 3620,6550 is 10

LCM of denominators i.e. for 865,1750 is 302750.

Thus, GCF of Fractions is 10/302750.Finally, GCF of Fractions for 3620/865, 6550/1750 is 10/302750.