How to Find GCF of 7069/485, 2968/9575?

GCF of 7069/485, 2968/9575

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 7069/485, 2968/9575 i.e 1/928775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7069/485, 2968/9575.

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 7069/485,2968/9575?

Given fractions are 7069/485,2968/9575

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 7069/485,2968/9575, numerators are 7069,2968

Denominators are 485,9575

The GCF of 7069,2968 is 1 .

LCM of 485,9575 is 928775.

The greatest common factor of 7069/485,2968/9575 = [GCF of 7069,2968]/[LCM of 485,9575]= 1/928775

Therefore, the GCF of 7069/485,2968/9575 is 1/928775.

Greatest Common Factor of 7069,2968

To find the highest common factor of 7069,2968, we have to find the factors of both numbers and list the highest common factor.

The factors of 7069 are 1, 7069

The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968

The HCF of 7069,2968 is 1.

Lets's calculate GCF of 7069,2968

Greatest Common Factor (GCF) of 7069,2968 By Common Division

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

Greatest Common Factor of 7069,2968 By Matching Biggest Common Factor Method

Now, list down the factors of 7069

1,7069

Now, list down the factors of 2968

1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968

Greatest Common Factor

We found the factors 7069,2968 . The biggest common factor number is the GCF number.
So the greatest common factor 7069,2968 is 1.

Lets's calculate LCM of 485,9575

Lowest Common Multiple of 485,9575 using Common Division

5	485, 9575
	97, 1915

∴ So the LCM of the given numbers is 5 x 97 x 1915 = 928775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/928775

Therefore, the GCF of Fractions 7069/485,2968/9575 is 1/928775

Least Common Multiple of 485,9575 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 485,9575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,9575) = 5

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

GCF(485,9575) x common factors =5 x 1 = 5

LCM(485,9575) = ( 485 × 9575 ) / 5

LCM(485,9575) = 4643875 / 5

LCM(485,9575) = 928775

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FAQs on GCF of Fractions of 7069/485, 2968/9575

1. What is the HCF of 7069,2968?

The HCF of 7069,2968 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 7069/485, 2968/9575?

Answer: GCF of Numerators as per given numbers 7069/485, 2968/9575 is

GCF of Numerators i.e. for 7069,2968 is 1

LCM of denominators i.e. for 485,9575 is 928775.

Thus, GCF of Fractions is 1/928775.Finally, GCF of Fractions for 7069/485, 2968/9575 is 1/928775.