How to Find GCF of 2834/818, 6734/7523?

GCF of 2834/818, 6734/7523

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 2834/818, 6734/7523 i.e 26/6153814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2834/818, 6734/7523.

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 2834/818,6734/7523?

Given fractions are 2834/818,6734/7523

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 2834/818,6734/7523, numerators are 2834,6734

Denominators are 818,7523

The GCF of 2834,6734 is 26 .

LCM of 818,7523 is 6153814.

The greatest common factor of 2834/818,6734/7523 = [GCF of 2834,6734]/[LCM of 818,7523]= 26/6153814

Therefore, the GCF of 2834/818,6734/7523 is 26/6153814.

Greatest Common Factor of 2834,6734

To find the highest common factor of 2834,6734, we have to find the factors of both numbers and list the highest common factor.

The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834

The factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734

The HCF of 2834,6734 is 26.

Lets's calculate GCF of 2834,6734

Greatest Common Factor (GCF) of 2834,6734 By Common Division

2	2834, 6734
13	1417, 3367
	109, 259

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 2834,6734 By Matching Biggest Common Factor Method

Now, list down the factors of 2834

1,2,13,26,109,218,1417,2834

Now, list down the factors of 6734

1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734

Greatest Common Factor

We found the factors 2834,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 2834,6734 is 26.

Lets's calculate LCM of 818,7523

Lowest Common Multiple of 818,7523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6153814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/6153814

Therefore, the GCF of Fractions 2834/818,6734/7523 is 26/6153814

Least Common Multiple of 818,7523 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 818,7523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,7523) = 1

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

GCF(818,7523) x common factors =1 x 1 = 1

LCM(818,7523) = ( 818 × 7523 ) / 1

LCM(818,7523) = 6153814 / 1

LCM(818,7523) = 6153814

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FAQs on GCF of Fractions of 2834/818, 6734/7523

1. What is the HCF of 2834,6734?

The HCF of 2834,6734 is 26

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 2834/818, 6734/7523?

Answer: GCF of Numerators as per given numbers 2834/818, 6734/7523 is

GCF of Numerators i.e. for 2834,6734 is 26

LCM of denominators i.e. for 818,7523 is 6153814.

Thus, GCF of Fractions is 26/6153814.Finally, GCF of Fractions for 2834/818, 6734/7523 is 26/6153814.