How to Find GCF of 7595/472, 8119/692?

GCF of 7595/472, 8119/692

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 7595/472, 8119/692 i.e 1/81656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7595/472, 8119/692.

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 7595/472,8119/692?

Given fractions are 7595/472,8119/692

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 7595/472,8119/692, numerators are 7595,8119

Denominators are 472,692

The GCF of 7595,8119 is 1 .

LCM of 472,692 is 81656.

The greatest common factor of 7595/472,8119/692 = [GCF of 7595,8119]/[LCM of 472,692]= 1/81656

Therefore, the GCF of 7595/472,8119/692 is 1/81656.

Greatest Common Factor of 7595,8119

To find the highest common factor of 7595,8119, we have to find the factors of both numbers and list the highest common factor.

The factors of 7595 are 1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595

The factors of 8119 are 1, 23, 353, 8119

The HCF of 7595,8119 is 1.

Lets's calculate GCF of 7595,8119

Greatest Common Factor (GCF) of 7595,8119 By Common Division

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

Greatest Common Factor of 7595,8119 By Matching Biggest Common Factor Method

Now, list down the factors of 7595

1,5,7,31,35,49,155,217,245,1085,1519,7595

Now, list down the factors of 8119

1,23,353,8119

Greatest Common Factor

We found the factors 7595,8119 . The biggest common factor number is the GCF number.
So the greatest common factor 7595,8119 is 1.

Lets's calculate LCM of 472,692

Lowest Common Multiple of 472,692 using Common Division

2	472, 692
2	236, 346
	118, 173

∴ So the LCM of the given numbers is 2 x 2 x 118 x 173 = 81656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81656

Therefore, the GCF of Fractions 7595/472,8119/692 is 1/81656

Least Common Multiple of 472,692 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 472,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,692) = 4

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

GCF(472,692) x common factors =4 x 1 = 4

LCM(472,692) = ( 472 × 692 ) / 4

LCM(472,692) = 326624 / 4

LCM(472,692) = 81656

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FAQs on GCF of Fractions of 7595/472, 8119/692

1. What is the HCF of 7595,8119?

The HCF of 7595,8119 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 7595/472, 8119/692?

Answer: GCF of Numerators as per given numbers 7595/472, 8119/692 is

GCF of Numerators i.e. for 7595,8119 is 1

LCM of denominators i.e. for 472,692 is 81656.

Thus, GCF of Fractions is 1/81656.Finally, GCF of Fractions for 7595/472, 8119/692 is 1/81656.