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GCF of 985/63, 263/187

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 985/63, 263/187 i.e 1/11781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 985/63, 263/187.

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 985/63,263/187?

Given fractions are 985/63,263/187

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 985/63,263/187, numerators are 985,263

Denominators are 63,187

The GCF of 985,263 is 1 .

LCM of 63,187 is 11781.

The greatest common factor of 985/63,263/187 = [GCF of 985,263]/[LCM of 63,187]= 1/11781

Therefore, the GCF of 985/63,263/187 is 1/11781.

Greatest Common Factor of 985,263

To find the highest common factor of 985,263, 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 263 are 1, 263

The HCF of 985,263 is 1.

Lets's calculate GCF of 985,263

Greatest Common Factor (GCF) of 985,263 By Common Division

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

Greatest Common Factor of 985,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,263 By Matching Biggest Common Factor Method

Now, list down the factors of 985

:

1,5,197,985

Now, list down the factors of 263

:

1,263

Greatest Common Factor

We found the factors 985,263 . The biggest common factor number is the GCF number.
So the greatest common factor 985,263 is 1.

Lets's calculate LCM of 63,187

Lowest Common Multiple of 63,187 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11781

Therefore, the GCF of Fractions 985/63,263/187 is 1/11781

Least Common Multiple of 63,187 with GCF Formula

Least Common Multiple of 63,187 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 63,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,187) = 1

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

GCF(63,187) x common factors =1 x 1 = 1

LCM(63,187) = ( 63 × 187 ) / 1

LCM(63,187) = 11781 / 1

LCM(63,187) = 11781


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FAQs on GCF of Fractions of 985/63, 263/187

1. What is the HCF of 985,263?

The HCF of 985,263 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 985/63, 263/187?

Answer: GCF of Numerators as per given numbers 985/63, 263/187 is

GCF of Numerators i.e. for 985,263 is 1

LCM of denominators i.e. for 63,187 is 11781.

Thus, GCF of Fractions is 1/11781.Finally, GCF of Fractions for 985/63, 263/187 is 1/11781.