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GCF of 985/25, 723/8059

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 985/25, 723/8059 i.e 1/201475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/25, 723/8059.

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 985/25,723/8059?

Given fractions are 985/25,723/8059

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 985/25,723/8059, numerators are 985,723

Denominators are 25,8059

The GCF of 985,723 is 1 .

LCM of 25,8059 is 201475.

The greatest common factor of 985/25,723/8059 = [GCF of 985,723]/[LCM of 25,8059]= 1/201475

Therefore, the GCF of 985/25,723/8059 is 1/201475.

Greatest Common Factor of 985,723

To find the highest common factor of 985,723, 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 723 are 1, 3, 241, 723

The HCF of 985,723 is 1.

Lets's calculate GCF of 985,723

Greatest Common Factor (GCF) of 985,723 By Common Division

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

Greatest Common Factor of 985,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,723 By Matching Biggest Common Factor Method

Now, list down the factors of 985

:

1,5,197,985

Now, list down the factors of 723

:

1,3,241,723

Greatest Common Factor

We found the factors 985,723 . The biggest common factor number is the GCF number.
So the greatest common factor 985,723 is 1.

Lets's calculate LCM of 25,8059

Lowest Common Multiple of 25,8059 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 201475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/201475

Therefore, the GCF of Fractions 985/25,723/8059 is 1/201475

Least Common Multiple of 25,8059 with GCF Formula

Least Common Multiple of 25,8059 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 25,8059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,8059) = 1

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

GCF(25,8059) x common factors =1 x 1 = 1

LCM(25,8059) = ( 25 × 8059 ) / 1

LCM(25,8059) = 201475 / 1

LCM(25,8059) = 201475


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FAQs on GCF of Fractions of 985/25, 723/8059

1. What is the HCF of 985,723?

The HCF of 985,723 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 985/25, 723/8059?

Answer: GCF of Numerators as per given numbers 985/25, 723/8059 is

GCF of Numerators i.e. for 985,723 is 1

LCM of denominators i.e. for 25,8059 is 201475.

Thus, GCF of Fractions is 1/201475.Finally, GCF of Fractions for 985/25, 723/8059 is 1/201475.