How to Find GCF of 1217/570, 8023/7540?

GCF of 1217/570, 8023/7540

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 1217/570, 8023/7540 i.e 1/429780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1217/570, 8023/7540.

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 1217/570,8023/7540?

Given fractions are 1217/570,8023/7540

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 1217/570,8023/7540, numerators are 1217,8023

Denominators are 570,7540

The GCF of 1217,8023 is 1 .

LCM of 570,7540 is 429780.

The greatest common factor of 1217/570,8023/7540 = [GCF of 1217,8023]/[LCM of 570,7540]= 1/429780

Therefore, the GCF of 1217/570,8023/7540 is 1/429780.

Greatest Common Factor of 1217,8023

To find the highest common factor of 1217,8023, we have to find the factors of both numbers and list the highest common factor.

The factors of 1217 are 1, 1217

The factors of 8023 are 1, 71, 113, 8023

The HCF of 1217,8023 is 1.

Lets's calculate GCF of 1217,8023

Greatest Common Factor (GCF) of 1217,8023 By Common Division

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

Greatest Common Factor of 1217,8023 By Matching Biggest Common Factor Method

Now, list down the factors of 1217

1,1217

Now, list down the factors of 8023

1,71,113,8023

Greatest Common Factor

We found the factors 1217,8023 . The biggest common factor number is the GCF number.
So the greatest common factor 1217,8023 is 1.

Lets's calculate LCM of 570,7540

Lowest Common Multiple of 570,7540 using Common Division

2	570, 7540
5	285, 3770
	57, 754

∴ So the LCM of the given numbers is 2 x 5 x 57 x 754 = 429780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429780

Therefore, the GCF of Fractions 1217/570,8023/7540 is 1/429780

Least Common Multiple of 570,7540 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 570,7540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,7540) = 10

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

GCF(570,7540) x common factors =10 x 1 = 10

LCM(570,7540) = ( 570 × 7540 ) / 10

LCM(570,7540) = 4297800 / 10

LCM(570,7540) = 429780

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FAQs on GCF of Fractions of 1217/570, 8023/7540

1. What is the HCF of 1217,8023?

The HCF of 1217,8023 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 1217/570, 8023/7540?

Answer: GCF of Numerators as per given numbers 1217/570, 8023/7540 is

GCF of Numerators i.e. for 1217,8023 is 1

LCM of denominators i.e. for 570,7540 is 429780.

Thus, GCF of Fractions is 1/429780.Finally, GCF of Fractions for 1217/570, 8023/7540 is 1/429780.