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GCF of 467/880, 435/816

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 467/880, 435/816 i.e 1/44880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/880, 435/816.

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 467/880,435/816?

Given fractions are 467/880,435/816

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 467/880,435/816, numerators are 467,435

Denominators are 880,816

The GCF of 467,435 is 1 .

LCM of 880,816 is 44880.

The greatest common factor of 467/880,435/816 = [GCF of 467,435]/[LCM of 880,816]= 1/44880

Therefore, the GCF of 467/880,435/816 is 1/44880.

Greatest Common Factor of 467,435

To find the highest common factor of 467,435, we have to find the factors of both numbers and list the highest common factor.

The factors of 467 are 1, 467

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435

The HCF of 467,435 is 1.

Lets's calculate GCF of 467,435

Greatest Common Factor (GCF) of 467,435 By Common Division

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

Greatest Common Factor of 467,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,435 By Matching Biggest Common Factor Method

Now, list down the factors of 467

:

1,467

Now, list down the factors of 435

:

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 467,435 . The biggest common factor number is the GCF number.
So the greatest common factor 467,435 is 1.

Lets's calculate LCM of 880,816

Lowest Common Multiple of 880,816 using Common Division

2 880, 816
2 440, 408
2 220, 204
2 110, 102
55, 51

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 55 x 51 = 44880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44880

Therefore, the GCF of Fractions 467/880,435/816 is 1/44880

Least Common Multiple of 880,816 with GCF Formula

Least Common Multiple of 880,816 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 880,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,816) = 16

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

GCF(880,816) x common factors =16 x 1 = 16

LCM(880,816) = ( 880 × 816 ) / 16

LCM(880,816) = 718080 / 16

LCM(880,816) = 44880


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FAQs on GCF of Fractions of 467/880, 435/816

1. What is the HCF of 467,435?

The HCF of 467,435 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 467/880, 435/816?

Answer: GCF of Numerators as per given numbers 467/880, 435/816 is

GCF of Numerators i.e. for 467,435 is 1

LCM of denominators i.e. for 880,816 is 44880.

Thus, GCF of Fractions is 1/44880.Finally, GCF of Fractions for 467/880, 435/816 is 1/44880.