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GCF of 318/985, 863/969

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 318/985, 863/969 i.e 1/954465 easily. The following is the detailed procedure to determine the greatest common factor of fractions 318/985, 863/969.

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 318/985,863/969?

Given fractions are 318/985,863/969

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 318/985,863/969, numerators are 318,863

Denominators are 985,969

The GCF of 318,863 is 1 .

LCM of 985,969 is 954465.

The greatest common factor of 318/985,863/969 = [GCF of 318,863]/[LCM of 985,969]= 1/954465

Therefore, the GCF of 318/985,863/969 is 1/954465.

Greatest Common Factor of 318,863

To find the highest common factor of 318,863, we have to find the factors of both numbers and list the highest common factor.

The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318

The factors of 863 are 1, 863

The HCF of 318,863 is 1.

Lets's calculate GCF of 318,863

Greatest Common Factor (GCF) of 318,863 By Common Division

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

Greatest Common Factor of 318,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,863 By Matching Biggest Common Factor Method

Now, list down the factors of 318

:

1,2,3,6,53,106,159,318

Now, list down the factors of 863

:

1,863

Greatest Common Factor

We found the factors 318,863 . The biggest common factor number is the GCF number.
So the greatest common factor 318,863 is 1.

Lets's calculate LCM of 985,969

Lowest Common Multiple of 985,969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 954465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/954465

Therefore, the GCF of Fractions 318/985,863/969 is 1/954465

Least Common Multiple of 985,969 with GCF Formula

Least Common Multiple of 985,969 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 985,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,969) = 1

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

GCF(985,969) x common factors =1 x 1 = 1

LCM(985,969) = ( 985 × 969 ) / 1

LCM(985,969) = 954465 / 1

LCM(985,969) = 954465


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FAQs on GCF of Fractions of 318/985, 863/969

1. What is the HCF of 318,863?

The HCF of 318,863 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 318/985, 863/969?

Answer: GCF of Numerators as per given numbers 318/985, 863/969 is

GCF of Numerators i.e. for 318,863 is 1

LCM of denominators i.e. for 985,969 is 954465.

Thus, GCF of Fractions is 1/954465.Finally, GCF of Fractions for 318/985, 863/969 is 1/954465.