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GCF of 70/49, 28/76, 777/23

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 70/49, 28/76, 777/23 i.e 7/85652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/49, 28/76, 777/23.

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 70/49,28/76,777/23?

Given fractions are 70/49,28/76,777/23

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 70/49,28/76,777/23, numerators are 70,28,777

Denominators are 49,76,23

The GCF of 70,28,777 is 7 .

LCM of 49,76,23 is 85652.

The greatest common factor of 70/49,28/76,777/23 = [GCF of 70,28,777]/[LCM of 49,76,23]= 7/85652

Therefore, the GCF of 70/49,28/76,777/23 is 7/85652.

Greatest Common Factor of 70,28,777

To find the highest common factor of 70,28,777, we have to find the factors of both numbers and list the highest common factor.

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70

The factors of 28 are 1, 2, 4, 7, 14, 28

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

The HCF of 70,28,777 is 7.

Lets's calculate GCF of 70,28,777

Greatest Common Factor (GCF) of 70,28,777 By Common Division

7 70, 28, 777
10, 4, 111

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

Greatest Common Factor of 70,28,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,28,777 By Matching Biggest Common Factor Method

Now, list down the factors of 70

:

1,2,5,7,10,14,35,70

Now, list down the factors of 28

:

1,2,4,7,14,28

Now, list down the factors of 777

:

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

Greatest Common Factor

We found the factors 70,28,777 . The biggest common factor number is the GCF number.
So the greatest common factor 70,28,777 is 7.


Lets's calculate LCM of 49,76,23

Lowest Common Multiple of 49,76,23 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 85652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/85652

Therefore, the GCF of Fractions 70/49,28/76,777/23 is 7/85652

Least Common Multiple of 49,76,23 with GCF Formula

Least Common Multiple of 49,76,23 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 49,76,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,76,23) = 1

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

GCF(49,76,23) x common factors =1 x 1 = 1

LCM(49,76,23) = ( 49 × 76 × 23 ) / 1

LCM(49,76,23) = 85652 / 1

LCM(49,76,23) = 85652


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 70/49, 28/76, 777/23

1. What is the HCF of 70,28,777?

The HCF of 70,28,777 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 70/49, 28/76, 777/23?

Answer: GCF of Numerators as per given numbers 70/49, 28/76, 777/23 is

GCF of Numerators i.e. for 70,28,777 is 7

LCM of denominators i.e. for 49,76,23 is 85652.

Thus, GCF of Fractions is 7/85652.Finally, GCF of Fractions for 70/49, 28/76, 777/23 is 7/85652.