How to Find GCF of 676/592, 3834/152?

GCF of 676/592, 3834/152

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 676/592, 3834/152 i.e 2/11248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 676/592, 3834/152.

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 676/592,3834/152?

Given fractions are 676/592,3834/152

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 676/592,3834/152, numerators are 676,3834

Denominators are 592,152

The GCF of 676,3834 is 2 .

LCM of 592,152 is 11248.

The greatest common factor of 676/592,3834/152 = [GCF of 676,3834]/[LCM of 592,152]= 2/11248

Therefore, the GCF of 676/592,3834/152 is 2/11248.

Greatest Common Factor of 676,3834

To find the highest common factor of 676,3834, we have to find the factors of both numbers and list the highest common factor.

The factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676

The factors of 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834

The HCF of 676,3834 is 2.

Lets's calculate GCF of 676,3834

Greatest Common Factor (GCF) of 676,3834 By Common Division

2	676, 3834
	338, 1917

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

Greatest Common Factor of 676,3834 By Matching Biggest Common Factor Method

Now, list down the factors of 676

1,2,4,13,26,52,169,338,676

Now, list down the factors of 3834

1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834

Greatest Common Factor

We found the factors 676,3834 . The biggest common factor number is the GCF number.
So the greatest common factor 676,3834 is 2.

Lets's calculate LCM of 592,152

Lowest Common Multiple of 592,152 using Common Division

2	592, 152
2	296, 76
2	148, 38
	74, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 74 x 19 = 11248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11248

Therefore, the GCF of Fractions 676/592,3834/152 is 2/11248

Least Common Multiple of 592,152 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 592,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,152) = 8

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

GCF(592,152) x common factors =8 x 1 = 8

LCM(592,152) = ( 592 × 152 ) / 8

LCM(592,152) = 89984 / 8

LCM(592,152) = 11248

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FAQs on GCF of Fractions of 676/592, 3834/152

1. What is the HCF of 676,3834?

The HCF of 676,3834 is 2

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 676/592, 3834/152?

Answer: GCF of Numerators as per given numbers 676/592, 3834/152 is

GCF of Numerators i.e. for 676,3834 is 2

LCM of denominators i.e. for 592,152 is 11248.

Thus, GCF of Fractions is 2/11248.Finally, GCF of Fractions for 676/592, 3834/152 is 2/11248.