How to Find GCF of 1174/666, 5724/682?

GCF of 1174/666, 5724/682

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 1174/666, 5724/682 i.e 2/227106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1174/666, 5724/682.

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 1174/666,5724/682?

Given fractions are 1174/666,5724/682

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 1174/666,5724/682, numerators are 1174,5724

Denominators are 666,682

The GCF of 1174,5724 is 2 .

LCM of 666,682 is 227106.

The greatest common factor of 1174/666,5724/682 = [GCF of 1174,5724]/[LCM of 666,682]= 2/227106

Therefore, the GCF of 1174/666,5724/682 is 2/227106.

Greatest Common Factor of 1174,5724

To find the highest common factor of 1174,5724, we have to find the factors of both numbers and list the highest common factor.

The factors of 1174 are 1, 2, 587, 1174

The factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724

The HCF of 1174,5724 is 2.

Lets's calculate GCF of 1174,5724

Greatest Common Factor (GCF) of 1174,5724 By Common Division

2	1174, 5724
	587, 2862

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

Greatest Common Factor of 1174,5724 By Matching Biggest Common Factor Method

Now, list down the factors of 1174

1,2,587,1174

Now, list down the factors of 5724

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Greatest Common Factor

We found the factors 1174,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 1174,5724 is 2.

Lets's calculate LCM of 666,682

Lowest Common Multiple of 666,682 using Common Division

2	666, 682
	333, 341

∴ So the LCM of the given numbers is 2 x 333 x 341 = 227106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/227106

Therefore, the GCF of Fractions 1174/666,5724/682 is 2/227106

Least Common Multiple of 666,682 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 666,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,682) = 2

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

GCF(666,682) x common factors =2 x 1 = 2

LCM(666,682) = ( 666 × 682 ) / 2

LCM(666,682) = 454212 / 2

LCM(666,682) = 227106

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FAQs on GCF of Fractions of 1174/666, 5724/682

1. What is the HCF of 1174,5724?

The HCF of 1174,5724 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 1174/666, 5724/682?

Answer: GCF of Numerators as per given numbers 1174/666, 5724/682 is

GCF of Numerators i.e. for 1174,5724 is 2

LCM of denominators i.e. for 666,682 is 227106.

Thus, GCF of Fractions is 2/227106.Finally, GCF of Fractions for 1174/666, 5724/682 is 2/227106.