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GCF of 35/985, 31/465

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 35/985, 31/465 i.e 1/91605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/985, 31/465.

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 35/985,31/465?

Given fractions are 35/985,31/465

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 35/985,31/465, numerators are 35,31

Denominators are 985,465

The GCF of 35,31 is 1 .

LCM of 985,465 is 91605.

The greatest common factor of 35/985,31/465 = [GCF of 35,31]/[LCM of 985,465]= 1/91605

Therefore, the GCF of 35/985,31/465 is 1/91605.

Greatest Common Factor of 35,31

To find the highest common factor of 35,31, we have to find the factors of both numbers and list the highest common factor.

The factors of 35 are 1, 5, 7, 35

The factors of 31 are 1, 31

The HCF of 35,31 is 1.

Lets's calculate GCF of 35,31

Greatest Common Factor (GCF) of 35,31 By Common Division

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

Greatest Common Factor of 35,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,31 By Matching Biggest Common Factor Method

Now, list down the factors of 35

:

1,5,7,35

Now, list down the factors of 31

:

1,31

Greatest Common Factor

We found the factors 35,31 . The biggest common factor number is the GCF number.
So the greatest common factor 35,31 is 1.

Lets's calculate LCM of 985,465

Lowest Common Multiple of 985,465 using Common Division

5 985, 465
197, 93

∴ So the LCM of the given numbers is 5 x 197 x 93 = 91605

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91605

Therefore, the GCF of Fractions 35/985,31/465 is 1/91605

Least Common Multiple of 985,465 with GCF Formula

Least Common Multiple of 985,465 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 985,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,465) = 5

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

GCF(985,465) x common factors =5 x 1 = 5

LCM(985,465) = ( 985 × 465 ) / 5

LCM(985,465) = 458025 / 5

LCM(985,465) = 91605


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FAQs on GCF of Fractions of 35/985, 31/465

1. What is the HCF of 35,31?

The HCF of 35,31 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 35/985, 31/465?

Answer: GCF of Numerators as per given numbers 35/985, 31/465 is

GCF of Numerators i.e. for 35,31 is 1

LCM of denominators i.e. for 985,465 is 91605.

Thus, GCF of Fractions is 1/91605.Finally, GCF of Fractions for 35/985, 31/465 is 1/91605.