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GCF of 4559/136, 8495/978

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 4559/136, 8495/978 i.e 1/66504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4559/136, 8495/978.

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 4559/136,8495/978?

Given fractions are 4559/136,8495/978

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 4559/136,8495/978, numerators are 4559,8495

Denominators are 136,978

The GCF of 4559,8495 is 1 .

LCM of 136,978 is 66504.

The greatest common factor of 4559/136,8495/978 = [GCF of 4559,8495]/[LCM of 136,978]= 1/66504

Therefore, the GCF of 4559/136,8495/978 is 1/66504.

Greatest Common Factor of 4559,8495

To find the highest common factor of 4559,8495, we have to find the factors of both numbers and list the highest common factor.

The factors of 4559 are 1, 47, 97, 4559

The factors of 8495 are 1, 5, 1699, 8495

The HCF of 4559,8495 is 1.

Lets's calculate GCF of 4559,8495

Greatest Common Factor (GCF) of 4559,8495 By Common Division

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

Greatest Common Factor of 4559,8495 By Matching Biggest Common Factor Method

Greatest Common Factor of 4559,8495 By Matching Biggest Common Factor Method

Now, list down the factors of 4559

:

1,47,97,4559

Now, list down the factors of 8495

:

1,5,1699,8495

Greatest Common Factor

We found the factors 4559,8495 . The biggest common factor number is the GCF number.
So the greatest common factor 4559,8495 is 1.

Lets's calculate LCM of 136,978

Lowest Common Multiple of 136,978 using Common Division

2 136, 978
68, 489

∴ So the LCM of the given numbers is 2 x 68 x 489 = 66504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66504

Therefore, the GCF of Fractions 4559/136,8495/978 is 1/66504

Least Common Multiple of 136,978 with GCF Formula

Least Common Multiple of 136,978 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 136,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,978) = 2

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

GCF(136,978) x common factors =2 x 1 = 2

LCM(136,978) = ( 136 × 978 ) / 2

LCM(136,978) = 133008 / 2

LCM(136,978) = 66504


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FAQs on GCF of Fractions of 4559/136, 8495/978

1. What is the HCF of 4559,8495?

The HCF of 4559,8495 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 4559/136, 8495/978?

Answer: GCF of Numerators as per given numbers 4559/136, 8495/978 is

GCF of Numerators i.e. for 4559,8495 is 1

LCM of denominators i.e. for 136,978 is 66504.

Thus, GCF of Fractions is 1/66504.Finally, GCF of Fractions for 4559/136, 8495/978 is 1/66504.