How to Find GCF of 6956/252, 7193/8292?

GCF of 6956/252, 7193/8292

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 6956/252, 7193/8292 i.e 1/174132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6956/252, 7193/8292.

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 6956/252,7193/8292?

Given fractions are 6956/252,7193/8292

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 6956/252,7193/8292, numerators are 6956,7193

Denominators are 252,8292

The GCF of 6956,7193 is 1 .

LCM of 252,8292 is 174132.

The greatest common factor of 6956/252,7193/8292 = [GCF of 6956,7193]/[LCM of 252,8292]= 1/174132

Therefore, the GCF of 6956/252,7193/8292 is 1/174132.

Greatest Common Factor of 6956,7193

To find the highest common factor of 6956,7193, we have to find the factors of both numbers and list the highest common factor.

The factors of 6956 are 1, 2, 4, 37, 47, 74, 94, 148, 188, 1739, 3478, 6956

The factors of 7193 are 1, 7193

The HCF of 6956,7193 is 1.

Lets's calculate GCF of 6956,7193

Greatest Common Factor (GCF) of 6956,7193 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6956,7193 By Matching Biggest Common Factor Method

Now, list down the factors of 6956

1,2,4,37,47,74,94,148,188,1739,3478,6956

Now, list down the factors of 7193

1,7193

Greatest Common Factor

We found the factors 6956,7193 . The biggest common factor number is the GCF number.
So the greatest common factor 6956,7193 is 1.

Lets's calculate LCM of 252,8292

Lowest Common Multiple of 252,8292 using Common Division

2	252, 8292
2	126, 4146
3	63, 2073
	21, 691

∴ So the LCM of the given numbers is 2 x 2 x 3 x 21 x 691 = 174132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174132

Therefore, the GCF of Fractions 6956/252,7193/8292 is 1/174132

Least Common Multiple of 252,8292 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 252,8292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,8292) = 12

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

GCF(252,8292) x common factors =12 x 1 = 12

LCM(252,8292) = ( 252 × 8292 ) / 12

LCM(252,8292) = 2089584 / 12

LCM(252,8292) = 174132

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FAQs on GCF of Fractions of 6956/252, 7193/8292

1. What is the HCF of 6956,7193?

The HCF of 6956,7193 is 1

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 6956/252, 7193/8292?

Answer: GCF of Numerators as per given numbers 6956/252, 7193/8292 is

GCF of Numerators i.e. for 6956,7193 is 1

LCM of denominators i.e. for 252,8292 is 174132.

Thus, GCF of Fractions is 1/174132.Finally, GCF of Fractions for 6956/252, 7193/8292 is 1/174132.