How to Find GCF of 832/413, 880/651?

GCF of 832/413, 880/651

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 832/413, 880/651 i.e 16/38409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/413, 880/651.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 832/413,880/651?

Given fractions are 832/413,880/651

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 832/413,880/651, numerators are 832,880

Denominators are 413,651

The GCF of 832,880 is 16 .

LCM of 413,651 is 38409.

The greatest common factor of 832/413,880/651 = [GCF of 832,880]/[LCM of 413,651]= 16/38409

Therefore, the GCF of 832/413,880/651 is 16/38409.

Greatest Common Factor of 832,880

To find the highest common factor of 832,880, we have to find the factors of both numbers and list the highest common factor.

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

The HCF of 832,880 is 16.

Lets's calculate GCF of 832,880

Greatest Common Factor (GCF) of 832,880 By Common Division

2	832, 880
2	416, 440
2	208, 220
2	104, 110
	52, 55

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 832,880 By Matching Biggest Common Factor Method

Now, list down the factors of 832

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Now, list down the factors of 880

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 832,880 . The biggest common factor number is the GCF number.
So the greatest common factor 832,880 is 16.

Lets's calculate LCM of 413,651

Lowest Common Multiple of 413,651 using Common Division

7	413, 651
	59, 93

∴ So the LCM of the given numbers is 7 x 59 x 93 = 38409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/38409

Therefore, the GCF of Fractions 832/413,880/651 is 16/38409

Least Common Multiple of 413,651 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 413,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,651) = 7

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

GCF(413,651) x common factors =7 x 1 = 7

LCM(413,651) = ( 413 × 651 ) / 7

LCM(413,651) = 268863 / 7

LCM(413,651) = 38409

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FAQs on GCF of Fractions of 832/413, 880/651

1. What is the HCF of 832,880?

The HCF of 832,880 is 16

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 832/413, 880/651?

Answer: GCF of Numerators as per given numbers 832/413, 880/651 is

GCF of Numerators i.e. for 832,880 is 16

LCM of denominators i.e. for 413,651 is 38409.

Thus, GCF of Fractions is 16/38409.Finally, GCF of Fractions for 832/413, 880/651 is 16/38409.