How to Find GCF of 8404/802, 3520/959?

GCF of 8404/802, 3520/959

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 8404/802, 3520/959 i.e 44/769118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8404/802, 3520/959.

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 8404/802,3520/959?

Given fractions are 8404/802,3520/959

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 8404/802,3520/959, numerators are 8404,3520

Denominators are 802,959

The GCF of 8404,3520 is 44 .

LCM of 802,959 is 769118.

The greatest common factor of 8404/802,3520/959 = [GCF of 8404,3520]/[LCM of 802,959]= 44/769118

Therefore, the GCF of 8404/802,3520/959 is 44/769118.

Greatest Common Factor of 8404,3520

To find the highest common factor of 8404,3520, we have to find the factors of both numbers and list the highest common factor.

The factors of 8404 are 1, 2, 4, 11, 22, 44, 191, 382, 764, 2101, 4202, 8404

The factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520

The HCF of 8404,3520 is 44.

Lets's calculate GCF of 8404,3520

Greatest Common Factor (GCF) of 8404,3520 By Common Division

2	8404, 3520
2	4202, 1760
11	2101, 880
	191, 80

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 8404,3520 By Matching Biggest Common Factor Method

Now, list down the factors of 8404

1,2,4,11,22,44,191,382,764,2101,4202,8404

Now, list down the factors of 3520

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Greatest Common Factor

We found the factors 8404,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 8404,3520 is 44.

Lets's calculate LCM of 802,959

Lowest Common Multiple of 802,959 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 769118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/769118

Therefore, the GCF of Fractions 8404/802,3520/959 is 44/769118

Least Common Multiple of 802,959 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 802,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,959) = 1

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

GCF(802,959) x common factors =1 x 1 = 1

LCM(802,959) = ( 802 × 959 ) / 1

LCM(802,959) = 769118 / 1

LCM(802,959) = 769118

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FAQs on GCF of Fractions of 8404/802, 3520/959

1. What is the HCF of 8404,3520?

The HCF of 8404,3520 is 44

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 8404/802, 3520/959?

Answer: GCF of Numerators as per given numbers 8404/802, 3520/959 is

GCF of Numerators i.e. for 8404,3520 is 44

LCM of denominators i.e. for 802,959 is 769118.

Thus, GCF of Fractions is 44/769118.Finally, GCF of Fractions for 8404/802, 3520/959 is 44/769118.