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GCF of 965/509, 4564/918

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 965/509, 4564/918 i.e 1/467262 easily. The following is the detailed procedure to determine the greatest common factor of fractions 965/509, 4564/918.

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 965/509,4564/918?

Given fractions are 965/509,4564/918

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 965/509,4564/918, numerators are 965,4564

Denominators are 509,918

The GCF of 965,4564 is 1 .

LCM of 509,918 is 467262.

The greatest common factor of 965/509,4564/918 = [GCF of 965,4564]/[LCM of 509,918]= 1/467262

Therefore, the GCF of 965/509,4564/918 is 1/467262.

Greatest Common Factor of 965,4564

To find the highest common factor of 965,4564, we have to find the factors of both numbers and list the highest common factor.

The factors of 965 are 1, 5, 193, 965

The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564

The HCF of 965,4564 is 1.

Lets's calculate GCF of 965,4564

Greatest Common Factor (GCF) of 965,4564 By Common Division

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

Greatest Common Factor of 965,4564 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,4564 By Matching Biggest Common Factor Method

Now, list down the factors of 965

:

1,5,193,965

Now, list down the factors of 4564

:

1,2,4,7,14,28,163,326,652,1141,2282,4564

Greatest Common Factor

We found the factors 965,4564 . The biggest common factor number is the GCF number.
So the greatest common factor 965,4564 is 1.


Lets's calculate LCM of 509,918

Lowest Common Multiple of 509,918 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 467262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467262

Therefore, the GCF of Fractions 965/509,4564/918 is 1/467262

Least Common Multiple of 509,918 with GCF Formula

Least Common Multiple of 509,918 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 509,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,918) = 1

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

GCF(509,918) x common factors =1 x 1 = 1

LCM(509,918) = ( 509 × 918 ) / 1

LCM(509,918) = 467262 / 1

LCM(509,918) = 467262


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 965/509, 4564/918

1. What is the HCF of 965,4564?

The HCF of 965,4564 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 965/509, 4564/918?

Answer: GCF of Numerators as per given numbers 965/509, 4564/918 is

GCF of Numerators i.e. for 965,4564 is 1

LCM of denominators i.e. for 509,918 is 467262.

Thus, GCF of Fractions is 1/467262.Finally, GCF of Fractions for 965/509, 4564/918 is 1/467262.