How to Find GCF of 7958/978, 7757/146?

GCF of 7958/978, 7757/146

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 7958/978, 7757/146 i.e 1/71394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7958/978, 7757/146.

Enter two or more fractions separated by "commas"

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

What is the GCF of 7958/978,7757/146?

Given fractions are 7958/978,7757/146

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 7958/978,7757/146, numerators are 7958,7757

Denominators are 978,146

The GCF of 7958,7757 is 1 .

LCM of 978,146 is 71394.

The greatest common factor of 7958/978,7757/146 = [GCF of 7958,7757]/[LCM of 978,146]= 1/71394

Therefore, the GCF of 7958/978,7757/146 is 1/71394.

Greatest Common Factor of 7958,7757

To find the highest common factor of 7958,7757, we have to find the factors of both numbers and list the highest common factor.

The factors of 7958 are 1, 2, 23, 46, 173, 346, 3979, 7958

The factors of 7757 are 1, 7757

The HCF of 7958,7757 is 1.

Lets's calculate GCF of 7958,7757

Greatest Common Factor (GCF) of 7958,7757 By Common Division

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

Greatest Common Factor of 7958,7757 By Matching Biggest Common Factor Method

Now, list down the factors of 7958

1,2,23,46,173,346,3979,7958

Now, list down the factors of 7757

1,7757

Greatest Common Factor

We found the factors 7958,7757 . The biggest common factor number is the GCF number.
So the greatest common factor 7958,7757 is 1.

Lets's calculate LCM of 978,146

Lowest Common Multiple of 978,146 using Common Division

2	978, 146
	489, 73

∴ So the LCM of the given numbers is 2 x 489 x 73 = 71394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71394

Therefore, the GCF of Fractions 7958/978,7757/146 is 1/71394

Least Common Multiple of 978,146 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 978,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,146) = 2

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

GCF(978,146) x common factors =2 x 1 = 2

LCM(978,146) = ( 978 × 146 ) / 2

LCM(978,146) = 142788 / 2

LCM(978,146) = 71394

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7958/978, 7757/146

1. What is the HCF of 7958,7757?

The HCF of 7958,7757 is 1

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 7958/978, 7757/146?

Answer: GCF of Numerators as per given numbers 7958/978, 7757/146 is

GCF of Numerators i.e. for 7958,7757 is 1

LCM of denominators i.e. for 978,146 is 71394.

Thus, GCF of Fractions is 1/71394.Finally, GCF of Fractions for 7958/978, 7757/146 is 1/71394.