Greatest Common Factor of 122/67, 763/17, 770/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 122/67, 763/17, 770/360

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 122/67,763/17,770/360

Given fractions are 122/67,763/17,770/360

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 122,763,770

Greatest Common Factor of Numerators i.e. GCF of 122,763,770 is 1 .

LCM of Denominators means LCM of 67,17,360 as per the given fractions.

LCM of 67,17,360 is 410040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 122,763,770

GCF of Fractions 122/67,763/17,770/360 is 1/410040

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 122,763,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,763,770 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 122,763,770 . The biggest common factor number is the GCF number.
So the greatest common factor 122,763,770 is 1.

Lets's calculate LCM of 67,17,360

Given numbers has no common factors except 1. So, there LCM is their product i.e 410040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410040

Therefore, the GCF of Fractions 122/67,763/17,770/360 is 1/410040

Least Common Multiple of 67,17,360 with GCF Formula

Least Common Multiple of 67,17,360 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 67,17,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,17,360) = 1

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

GCF(67,17,360) x common factors =1 x 1 = 1

LCM(67,17,360) = ( 67 × 17 × 360 ) / 1

LCM(67,17,360) = 410040 / 1

LCM(67,17,360) = 410040


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 122/67, 763/17, 770/360

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 122/67, 763/17, 770/360?

Answer: GCF of Numerators as per given numbers 122/67, 763/17, 770/360 is

GCF of Numerators i.e. for 122,763,770 is 1

LCM of denominators i.e. for 67,17,360 is 410040.

Thus, GCF of Fractions is 1/410040.Finally, GCF of Fractions for 122/67, 763/17, 770/360 is 1/410040.