How to Find GCF of 6952/172, 5333/7048?

GCF of 6952/172, 5333/7048

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 6952/172, 5333/7048 i.e 1/303064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6952/172, 5333/7048.

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 6952/172,5333/7048?

Given fractions are 6952/172,5333/7048

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 6952/172,5333/7048, numerators are 6952,5333

Denominators are 172,7048

The GCF of 6952,5333 is 1 .

LCM of 172,7048 is 303064.

The greatest common factor of 6952/172,5333/7048 = [GCF of 6952,5333]/[LCM of 172,7048]= 1/303064

Therefore, the GCF of 6952/172,5333/7048 is 1/303064.

Greatest Common Factor of 6952,5333

To find the highest common factor of 6952,5333, we have to find the factors of both numbers and list the highest common factor.

The factors of 6952 are 1, 2, 4, 8, 11, 22, 44, 79, 88, 158, 316, 632, 869, 1738, 3476, 6952

The factors of 5333 are 1, 5333

The HCF of 6952,5333 is 1.

Lets's calculate GCF of 6952,5333

Greatest Common Factor (GCF) of 6952,5333 By Common Division

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

Greatest Common Factor of 6952,5333 By Matching Biggest Common Factor Method

Now, list down the factors of 6952

1,2,4,8,11,22,44,79,88,158,316,632,869,1738,3476,6952

Now, list down the factors of 5333

1,5333

Greatest Common Factor

We found the factors 6952,5333 . The biggest common factor number is the GCF number.
So the greatest common factor 6952,5333 is 1.

Lets's calculate LCM of 172,7048

Lowest Common Multiple of 172,7048 using Common Division

2	172, 7048
2	86, 3524
	43, 1762

∴ So the LCM of the given numbers is 2 x 2 x 43 x 1762 = 303064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303064

Therefore, the GCF of Fractions 6952/172,5333/7048 is 1/303064

Least Common Multiple of 172,7048 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 172,7048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,7048) = 4

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

GCF(172,7048) x common factors =4 x 1 = 4

LCM(172,7048) = ( 172 × 7048 ) / 4

LCM(172,7048) = 1212256 / 4

LCM(172,7048) = 303064

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6952/172, 5333/7048

1. What is the HCF of 6952,5333?

The HCF of 6952,5333 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 6952/172, 5333/7048?

Answer: GCF of Numerators as per given numbers 6952/172, 5333/7048 is

GCF of Numerators i.e. for 6952,5333 is 1

LCM of denominators i.e. for 172,7048 is 303064.

Thus, GCF of Fractions is 1/303064.Finally, GCF of Fractions for 6952/172, 5333/7048 is 1/303064.