How to Find GCF of 1392/952, 6757/9301?

GCF of 1392/952, 6757/9301

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 1392/952, 6757/9301 i.e 29/8854552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1392/952, 6757/9301.

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 1392/952,6757/9301?

Given fractions are 1392/952,6757/9301

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 1392/952,6757/9301, numerators are 1392,6757

Denominators are 952,9301

The GCF of 1392,6757 is 29 .

LCM of 952,9301 is 8854552.

The greatest common factor of 1392/952,6757/9301 = [GCF of 1392,6757]/[LCM of 952,9301]= 29/8854552

Therefore, the GCF of 1392/952,6757/9301 is 29/8854552.

Greatest Common Factor of 1392,6757

To find the highest common factor of 1392,6757, we have to find the factors of both numbers and list the highest common factor.

The factors of 1392 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 87, 116, 174, 232, 348, 464, 696, 1392

The factors of 6757 are 1, 29, 233, 6757

The HCF of 1392,6757 is 29.

Lets's calculate GCF of 1392,6757

Greatest Common Factor (GCF) of 1392,6757 By Common Division

29	1392, 6757
	48, 233

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 1392,6757 By Matching Biggest Common Factor Method

Now, list down the factors of 1392

1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392

Now, list down the factors of 6757

1,29,233,6757

Greatest Common Factor

We found the factors 1392,6757 . The biggest common factor number is the GCF number.
So the greatest common factor 1392,6757 is 29.

Lets's calculate LCM of 952,9301

Lowest Common Multiple of 952,9301 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8854552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/8854552

Therefore, the GCF of Fractions 1392/952,6757/9301 is 29/8854552

Least Common Multiple of 952,9301 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 952,9301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,9301) = 1

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

GCF(952,9301) x common factors =1 x 1 = 1

LCM(952,9301) = ( 952 × 9301 ) / 1

LCM(952,9301) = 8854552 / 1

LCM(952,9301) = 8854552

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1392/952, 6757/9301

1. What is the HCF of 1392,6757?

The HCF of 1392,6757 is 29

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 1392/952, 6757/9301?

Answer: GCF of Numerators as per given numbers 1392/952, 6757/9301 is

GCF of Numerators i.e. for 1392,6757 is 29

LCM of denominators i.e. for 952,9301 is 8854552.

Thus, GCF of Fractions is 29/8854552.Finally, GCF of Fractions for 1392/952, 6757/9301 is 29/8854552.