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GCF of 95/24, 44/467, 856/814

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 95/24, 44/467, 856/814 i.e 1/4561656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/24, 44/467, 856/814.

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 95/24,44/467,856/814?

Given fractions are 95/24,44/467,856/814

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 95/24,44/467,856/814, numerators are 95,44,856

Denominators are 24,467,814

The GCF of 95,44,856 is 1 .

LCM of 24,467,814 is 4561656.

The greatest common factor of 95/24,44/467,856/814 = [GCF of 95,44,856]/[LCM of 24,467,814]= 1/4561656

Therefore, the GCF of 95/24,44/467,856/814 is 1/4561656.

Greatest Common Factor of 95,44,856

To find the highest common factor of 95,44,856, we have to find the factors of both numbers and list the highest common factor.

The factors of 95 are 1, 5, 19, 95

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856

The HCF of 95,44,856 is 1.

Lets's calculate GCF of 95,44,856

Greatest Common Factor (GCF) of 95,44,856 By Common Division

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

Greatest Common Factor of 95,44,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,44,856 By Matching Biggest Common Factor Method

Now, list down the factors of 95

:

1,5,19,95

Now, list down the factors of 44

:

1,2,4,11,22,44

Now, list down the factors of 856

:

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 95,44,856 . The biggest common factor number is the GCF number.
So the greatest common factor 95,44,856 is 1.


Lets's calculate LCM of 24,467,814

Lowest Common Multiple of 24,467,814 using Common Division

2 24, 467, 814
12, 467, 407

∴ So the LCM of the given numbers is 2 x 12 x 467 x 407 = 4561656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4561656

Therefore, the GCF of Fractions 95/24,44/467,856/814 is 1/4561656

Least Common Multiple of 24,467,814 with GCF Formula

Least Common Multiple of 24,467,814 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 24,467,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,467,814) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(24,467,814) x common factors =1 x 2 = 2

LCM(24,467,814) = ( 24 × 467 × 814 ) / 2

LCM(24,467,814) = 9123312 / 2

LCM(24,467,814) = 4561656


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 95/24, 44/467, 856/814

1. What is the HCF of 95,44,856?

The HCF of 95,44,856 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 95/24, 44/467, 856/814?

Answer: GCF of Numerators as per given numbers 95/24, 44/467, 856/814 is

GCF of Numerators i.e. for 95,44,856 is 1

LCM of denominators i.e. for 24,467,814 is 4561656.

Thus, GCF of Fractions is 1/4561656.Finally, GCF of Fractions for 95/24, 44/467, 856/814 is 1/4561656.