How to Find GCF of 1710/688, 6053/7561?

GCF of 1710/688, 6053/7561

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 1710/688, 6053/7561 i.e 1/5201968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1710/688, 6053/7561.

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 1710/688,6053/7561?

Given fractions are 1710/688,6053/7561

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 1710/688,6053/7561, numerators are 1710,6053

Denominators are 688,7561

The GCF of 1710,6053 is 1 .

LCM of 688,7561 is 5201968.

The greatest common factor of 1710/688,6053/7561 = [GCF of 1710,6053]/[LCM of 688,7561]= 1/5201968

Therefore, the GCF of 1710/688,6053/7561 is 1/5201968.

Greatest Common Factor of 1710,6053

To find the highest common factor of 1710,6053, we have to find the factors of both numbers and list the highest common factor.

The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710

The factors of 6053 are 1, 6053

The HCF of 1710,6053 is 1.

Lets's calculate GCF of 1710,6053

Greatest Common Factor (GCF) of 1710,6053 By Common Division

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

Greatest Common Factor of 1710,6053 By Matching Biggest Common Factor Method

Now, list down the factors of 1710

1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710

Now, list down the factors of 6053

1,6053

Greatest Common Factor

We found the factors 1710,6053 . The biggest common factor number is the GCF number.
So the greatest common factor 1710,6053 is 1.

Lets's calculate LCM of 688,7561

Lowest Common Multiple of 688,7561 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5201968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5201968

Therefore, the GCF of Fractions 1710/688,6053/7561 is 1/5201968

Least Common Multiple of 688,7561 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 688,7561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,7561) = 1

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

GCF(688,7561) x common factors =1 x 1 = 1

LCM(688,7561) = ( 688 × 7561 ) / 1

LCM(688,7561) = 5201968 / 1

LCM(688,7561) = 5201968

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1710/688, 6053/7561

1. What is the HCF of 1710,6053?

The HCF of 1710,6053 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 1710/688, 6053/7561?

Answer: GCF of Numerators as per given numbers 1710/688, 6053/7561 is

GCF of Numerators i.e. for 1710,6053 is 1

LCM of denominators i.e. for 688,7561 is 5201968.

Thus, GCF of Fractions is 1/5201968.Finally, GCF of Fractions for 1710/688, 6053/7561 is 1/5201968.