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GCF of 945/77, 142/755

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 945/77, 142/755 i.e 1/58135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/77, 142/755.

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 945/77,142/755?

Given fractions are 945/77,142/755

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 945/77,142/755, numerators are 945,142

Denominators are 77,755

The GCF of 945,142 is 1 .

LCM of 77,755 is 58135.

The greatest common factor of 945/77,142/755 = [GCF of 945,142]/[LCM of 77,755]= 1/58135

Therefore, the GCF of 945/77,142/755 is 1/58135.

Greatest Common Factor of 945,142

To find the highest common factor of 945,142, we have to find the factors of both numbers and list the highest common factor.

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The factors of 142 are 1, 2, 71, 142

The HCF of 945,142 is 1.

Lets's calculate GCF of 945,142

Greatest Common Factor (GCF) of 945,142 By Common Division

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

Greatest Common Factor of 945,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,142 By Matching Biggest Common Factor Method

Now, list down the factors of 945

:

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Now, list down the factors of 142

:

1,2,71,142

Greatest Common Factor

We found the factors 945,142 . The biggest common factor number is the GCF number.
So the greatest common factor 945,142 is 1.

Lets's calculate LCM of 77,755

Lowest Common Multiple of 77,755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 58135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58135

Therefore, the GCF of Fractions 945/77,142/755 is 1/58135

Least Common Multiple of 77,755 with GCF Formula

Least Common Multiple of 77,755 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 77,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,755) = 1

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

GCF(77,755) x common factors =1 x 1 = 1

LCM(77,755) = ( 77 × 755 ) / 1

LCM(77,755) = 58135 / 1

LCM(77,755) = 58135


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FAQs on GCF of Fractions of 945/77, 142/755

1. What is the HCF of 945,142?

The HCF of 945,142 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 945/77, 142/755?

Answer: GCF of Numerators as per given numbers 945/77, 142/755 is

GCF of Numerators i.e. for 945,142 is 1

LCM of denominators i.e. for 77,755 is 58135.

Thus, GCF of Fractions is 1/58135.Finally, GCF of Fractions for 945/77, 142/755 is 1/58135.