How to Find GCF of 4085/672, 7658/970?

GCF of 4085/672, 7658/970

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 4085/672, 7658/970 i.e 1/325920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4085/672, 7658/970.

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 4085/672,7658/970?

Given fractions are 4085/672,7658/970

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 4085/672,7658/970, numerators are 4085,7658

Denominators are 672,970

The GCF of 4085,7658 is 1 .

LCM of 672,970 is 325920.

The greatest common factor of 4085/672,7658/970 = [GCF of 4085,7658]/[LCM of 672,970]= 1/325920

Therefore, the GCF of 4085/672,7658/970 is 1/325920.

Greatest Common Factor of 4085,7658

To find the highest common factor of 4085,7658, we have to find the factors of both numbers and list the highest common factor.

The factors of 4085 are 1, 5, 19, 43, 95, 215, 817, 4085

The factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658

The HCF of 4085,7658 is 1.

Lets's calculate GCF of 4085,7658

Greatest Common Factor (GCF) of 4085,7658 By Common Division

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

Greatest Common Factor of 4085,7658 By Matching Biggest Common Factor Method

Now, list down the factors of 4085

1,5,19,43,95,215,817,4085

Now, list down the factors of 7658

1,2,7,14,547,1094,3829,7658

Greatest Common Factor

We found the factors 4085,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 4085,7658 is 1.

Lets's calculate LCM of 672,970

Lowest Common Multiple of 672,970 using Common Division

2	672, 970
	336, 485

∴ So the LCM of the given numbers is 2 x 336 x 485 = 325920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325920

Therefore, the GCF of Fractions 4085/672,7658/970 is 1/325920

Least Common Multiple of 672,970 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 672,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,970) = 2

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

GCF(672,970) x common factors =2 x 1 = 2

LCM(672,970) = ( 672 × 970 ) / 2

LCM(672,970) = 651840 / 2

LCM(672,970) = 325920

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4085/672, 7658/970

1. What is the HCF of 4085,7658?

The HCF of 4085,7658 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 4085/672, 7658/970?

Answer: GCF of Numerators as per given numbers 4085/672, 7658/970 is

GCF of Numerators i.e. for 4085,7658 is 1

LCM of denominators i.e. for 672,970 is 325920.

Thus, GCF of Fractions is 1/325920.Finally, GCF of Fractions for 4085/672, 7658/970 is 1/325920.