How to Find GCF of 7531/770, 3679/1570?

GCF of 7531/770, 3679/1570

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 7531/770, 3679/1570 i.e 1/120890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7531/770, 3679/1570.

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 7531/770,3679/1570?

Given fractions are 7531/770,3679/1570

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 7531/770,3679/1570, numerators are 7531,3679

Denominators are 770,1570

The GCF of 7531,3679 is 1 .

LCM of 770,1570 is 120890.

The greatest common factor of 7531/770,3679/1570 = [GCF of 7531,3679]/[LCM of 770,1570]= 1/120890

Therefore, the GCF of 7531/770,3679/1570 is 1/120890.

Greatest Common Factor of 7531,3679

To find the highest common factor of 7531,3679, we have to find the factors of both numbers and list the highest common factor.

The factors of 7531 are 1, 17, 443, 7531

The factors of 3679 are 1, 13, 283, 3679

The HCF of 7531,3679 is 1.

Lets's calculate GCF of 7531,3679

Greatest Common Factor (GCF) of 7531,3679 By Common Division

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

Greatest Common Factor of 7531,3679 By Matching Biggest Common Factor Method

Now, list down the factors of 7531

1,17,443,7531

Now, list down the factors of 3679

1,13,283,3679

Greatest Common Factor

We found the factors 7531,3679 . The biggest common factor number is the GCF number.
So the greatest common factor 7531,3679 is 1.

Lets's calculate LCM of 770,1570

Lowest Common Multiple of 770,1570 using Common Division

2	770, 1570
5	385, 785
	77, 157

∴ So the LCM of the given numbers is 2 x 5 x 77 x 157 = 120890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120890

Therefore, the GCF of Fractions 7531/770,3679/1570 is 1/120890

Least Common Multiple of 770,1570 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 770,1570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,1570) = 10

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

GCF(770,1570) x common factors =10 x 1 = 10

LCM(770,1570) = ( 770 × 1570 ) / 10

LCM(770,1570) = 1208900 / 10

LCM(770,1570) = 120890

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FAQs on GCF of Fractions of 7531/770, 3679/1570

1. What is the HCF of 7531,3679?

The HCF of 7531,3679 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 7531/770, 3679/1570?

Answer: GCF of Numerators as per given numbers 7531/770, 3679/1570 is

GCF of Numerators i.e. for 7531,3679 is 1

LCM of denominators i.e. for 770,1570 is 120890.

Thus, GCF of Fractions is 1/120890.Finally, GCF of Fractions for 7531/770, 3679/1570 is 1/120890.