Greatest Common Factor of 980/606, 7040/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/606, 7040/775

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 980/606,7040/775

Given fractions are 980/606,7040/775

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 980,7040

Greatest Common Factor of Numerators i.e. GCF of 980,7040 is 20 .

LCM of Denominators means LCM of 606,775 as per the given fractions.

LCM of 606,775 is 469650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,7040

GCF of Fractions 980/606,7040/775 is 20/469650

2 980, 7040
2 490, 3520
5 245, 1760
49, 352

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 980,7040 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,7040 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040

Greatest Common Factor

We found the factors 980,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 980,7040 is 20.

Lets's calculate LCM of 606,775

Given numbers has no common factors except 1. So, there LCM is their product i.e 469650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/469650

Therefore, the GCF of Fractions 980/606,7040/775 is 20/469650

Least Common Multiple of 606,775 with GCF Formula

Least Common Multiple of 606,775 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 606,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,775) = 1

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

GCF(606,775) x common factors =1 x 1 = 1

LCM(606,775) = ( 606 × 775 ) / 1

LCM(606,775) = 469650 / 1

LCM(606,775) = 469650


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 980/606, 7040/775

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 980/606, 7040/775?

Answer: GCF of Numerators as per given numbers 980/606, 7040/775 is

GCF of Numerators i.e. for 980,7040 is 20

LCM of denominators i.e. for 606,775 is 469650.

Thus, GCF of Fractions is 20/469650.Finally, GCF of Fractions for 980/606, 7040/775 is 20/469650.