Greatest Common Factor of 850/7614, 120/1040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/7614, 120/1040

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 850/7614,120/1040

Given fractions are 850/7614,120/1040

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 850,120

Greatest Common Factor of Numerators i.e. GCF of 850,120 is 10 .

LCM of Denominators means LCM of 7614,1040 as per the given fractions.

LCM of 7614,1040 is 3959280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,120

GCF of Fractions 850/7614,120/1040 is 10/3959280

2 850, 120
5 425, 60
85, 12

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

Greatest Common Factor of 850,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,120 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 850,120 . The biggest common factor number is the GCF number.
So the greatest common factor 850,120 is 10.

Lets's calculate LCM of 7614,1040

2 7614, 1040
3807, 520

∴ So the LCM of the given numbers is 2 x 3807 x 520 = 3959280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3959280

Therefore, the GCF of Fractions 850/7614,120/1040 is 10/3959280

Least Common Multiple of 7614,1040 with GCF Formula

Least Common Multiple of 7614,1040 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 7614,1040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7614,1040) = 2

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

GCF(7614,1040) x common factors =2 x 1 = 2

LCM(7614,1040) = ( 7614 × 1040 ) / 2

LCM(7614,1040) = 7918560 / 2

LCM(7614,1040) = 3959280


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 850/7614, 120/1040

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 850/7614, 120/1040?

Answer: GCF of Numerators as per given numbers 850/7614, 120/1040 is

GCF of Numerators i.e. for 850,120 is 10

LCM of denominators i.e. for 7614,1040 is 3959280.

Thus, GCF of Fractions is 10/3959280.Finally, GCF of Fractions for 850/7614, 120/1040 is 10/3959280.