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GCF of 985/954, 2653/946

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 985/954, 2653/946 i.e 1/451242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/954, 2653/946.

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 985/954,2653/946?

Given fractions are 985/954,2653/946

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 985/954,2653/946, numerators are 985,2653

Denominators are 954,946

The GCF of 985,2653 is 1 .

LCM of 954,946 is 451242.

The greatest common factor of 985/954,2653/946 = [GCF of 985,2653]/[LCM of 954,946]= 1/451242

Therefore, the GCF of 985/954,2653/946 is 1/451242.

Greatest Common Factor of 985,2653

To find the highest common factor of 985,2653, we have to find the factors of both numbers and list the highest common factor.

The factors of 985 are 1, 5, 197, 985

The factors of 2653 are 1, 7, 379, 2653

The HCF of 985,2653 is 1.

Lets's calculate GCF of 985,2653

Greatest Common Factor (GCF) of 985,2653 By Common Division

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

Greatest Common Factor of 985,2653 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,2653 By Matching Biggest Common Factor Method

Now, list down the factors of 985

:

1,5,197,985

Now, list down the factors of 2653

:

1,7,379,2653

Greatest Common Factor

We found the factors 985,2653 . The biggest common factor number is the GCF number.
So the greatest common factor 985,2653 is 1.

Lets's calculate LCM of 954,946

Lowest Common Multiple of 954,946 using Common Division

2 954, 946
477, 473

∴ So the LCM of the given numbers is 2 x 477 x 473 = 451242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451242

Therefore, the GCF of Fractions 985/954,2653/946 is 1/451242

Least Common Multiple of 954,946 with GCF Formula

Least Common Multiple of 954,946 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 954,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,946) = 2

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

GCF(954,946) x common factors =2 x 1 = 2

LCM(954,946) = ( 954 × 946 ) / 2

LCM(954,946) = 902484 / 2

LCM(954,946) = 451242


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FAQs on GCF of Fractions of 985/954, 2653/946

1. What is the HCF of 985,2653?

The HCF of 985,2653 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 985/954, 2653/946?

Answer: GCF of Numerators as per given numbers 985/954, 2653/946 is

GCF of Numerators i.e. for 985,2653 is 1

LCM of denominators i.e. for 954,946 is 451242.

Thus, GCF of Fractions is 1/451242.Finally, GCF of Fractions for 985/954, 2653/946 is 1/451242.