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GCF of 777/970, 770/406

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 777/970, 770/406 i.e 7/196910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/970, 770/406.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 777/970,770/406?

Given fractions are 777/970,770/406

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 777/970,770/406, numerators are 777,770

Denominators are 970,406

The GCF of 777,770 is 7 .

LCM of 970,406 is 196910.

The greatest common factor of 777/970,770/406 = [GCF of 777,770]/[LCM of 970,406]= 7/196910

Therefore, the GCF of 777/970,770/406 is 7/196910.

Greatest Common Factor of 777,770

To find the highest common factor of 777,770, we have to find the factors of both numbers and list the highest common factor.

The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777

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

The HCF of 777,770 is 7.

Lets's calculate GCF of 777,770

Greatest Common Factor (GCF) of 777,770 By Common Division

7 777, 770
111, 110

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 777,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,770 By Matching Biggest Common Factor Method

Now, list down the factors of 777

:

1,3,7,21,37,111,259,777

Now, list down the factors of 770

:

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

Greatest Common Factor

We found the factors 777,770 . The biggest common factor number is the GCF number.
So the greatest common factor 777,770 is 7.

Lets's calculate LCM of 970,406

Lowest Common Multiple of 970,406 using Common Division

2 970, 406
485, 203

∴ So the LCM of the given numbers is 2 x 485 x 203 = 196910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/196910

Therefore, the GCF of Fractions 777/970,770/406 is 7/196910

Least Common Multiple of 970,406 with GCF Formula

Least Common Multiple of 970,406 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 970,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,406) = 2

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

GCF(970,406) x common factors =2 x 1 = 2

LCM(970,406) = ( 970 × 406 ) / 2

LCM(970,406) = 393820 / 2

LCM(970,406) = 196910


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FAQs on GCF of Fractions of 777/970, 770/406

1. What is the HCF of 777,770?

The HCF of 777,770 is 7

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 777/970, 770/406?

Answer: GCF of Numerators as per given numbers 777/970, 770/406 is

GCF of Numerators i.e. for 777,770 is 7

LCM of denominators i.e. for 970,406 is 196910.

Thus, GCF of Fractions is 7/196910.Finally, GCF of Fractions for 777/970, 770/406 is 7/196910.