Greatest Common Factor of 110/614, 7680/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/614, 7680/295

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 110/614,7680/295

Given fractions are 110/614,7680/295

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 110,7680

Greatest Common Factor of Numerators i.e. GCF of 110,7680 is 10 .

LCM of Denominators means LCM of 614,295 as per the given fractions.

LCM of 614,295 is 181130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,7680

GCF of Fractions 110/614,7680/295 is 10/181130

2 110, 7680
5 55, 3840
11, 768

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

Greatest Common Factor of 110,7680 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,7680 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680

Greatest Common Factor

We found the factors 110,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 110,7680 is 10.

Lets's calculate LCM of 614,295

Given numbers has no common factors except 1. So, there LCM is their product i.e 181130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/181130

Therefore, the GCF of Fractions 110/614,7680/295 is 10/181130

Least Common Multiple of 614,295 with GCF Formula

Least Common Multiple of 614,295 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 614,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,295) = 1

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

GCF(614,295) x common factors =1 x 1 = 1

LCM(614,295) = ( 614 × 295 ) / 1

LCM(614,295) = 181130 / 1

LCM(614,295) = 181130


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 110/614, 7680/295

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 110/614, 7680/295?

Answer: GCF of Numerators as per given numbers 110/614, 7680/295 is

GCF of Numerators i.e. for 110,7680 is 10

LCM of denominators i.e. for 614,295 is 181130.

Thus, GCF of Fractions is 10/181130.Finally, GCF of Fractions for 110/614, 7680/295 is 10/181130.