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GCF of 305/280, 895/477

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 305/280, 895/477 i.e 5/133560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 305/280, 895/477.

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 305/280,895/477?

Given fractions are 305/280,895/477

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 305/280,895/477, numerators are 305,895

Denominators are 280,477

The GCF of 305,895 is 5 .

LCM of 280,477 is 133560.

The greatest common factor of 305/280,895/477 = [GCF of 305,895]/[LCM of 280,477]= 5/133560

Therefore, the GCF of 305/280,895/477 is 5/133560.

Greatest Common Factor of 305,895

To find the highest common factor of 305,895, we have to find the factors of both numbers and list the highest common factor.

The factors of 305 are 1, 5, 61, 305

The factors of 895 are 1, 5, 179, 895

The HCF of 305,895 is 5.

Lets's calculate GCF of 305,895

Greatest Common Factor (GCF) of 305,895 By Common Division

5 305, 895
61, 179

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 305,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,895 By Matching Biggest Common Factor Method

Now, list down the factors of 305

:

1,5,61,305

Now, list down the factors of 895

:

1,5,179,895

Greatest Common Factor

We found the factors 305,895 . The biggest common factor number is the GCF number.
So the greatest common factor 305,895 is 5.

Lets's calculate LCM of 280,477

Lowest Common Multiple of 280,477 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 133560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/133560

Therefore, the GCF of Fractions 305/280,895/477 is 5/133560

Least Common Multiple of 280,477 with GCF Formula

Least Common Multiple of 280,477 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 280,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,477) = 1

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

GCF(280,477) x common factors =1 x 1 = 1

LCM(280,477) = ( 280 × 477 ) / 1

LCM(280,477) = 133560 / 1

LCM(280,477) = 133560


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FAQs on GCF of Fractions of 305/280, 895/477

1. What is the HCF of 305,895?

The HCF of 305,895 is 5

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 305/280, 895/477?

Answer: GCF of Numerators as per given numbers 305/280, 895/477 is

GCF of Numerators i.e. for 305,895 is 5

LCM of denominators i.e. for 280,477 is 133560.

Thus, GCF of Fractions is 5/133560.Finally, GCF of Fractions for 305/280, 895/477 is 5/133560.