How to Find GCF of 6023/688, 9710/1243?

GCF of 6023/688, 9710/1243

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 6023/688, 9710/1243 i.e 1/855184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6023/688, 9710/1243.

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 6023/688,9710/1243?

Given fractions are 6023/688,9710/1243

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 6023/688,9710/1243, numerators are 6023,9710

Denominators are 688,1243

The GCF of 6023,9710 is 1 .

LCM of 688,1243 is 855184.

The greatest common factor of 6023/688,9710/1243 = [GCF of 6023,9710]/[LCM of 688,1243]= 1/855184

Therefore, the GCF of 6023/688,9710/1243 is 1/855184.

Greatest Common Factor of 6023,9710

To find the highest common factor of 6023,9710, we have to find the factors of both numbers and list the highest common factor.

The factors of 6023 are 1, 19, 317, 6023

The factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710

The HCF of 6023,9710 is 1.

Lets's calculate GCF of 6023,9710

Greatest Common Factor (GCF) of 6023,9710 By Common Division

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

Greatest Common Factor of 6023,9710 By Matching Biggest Common Factor Method

Now, list down the factors of 6023

1,19,317,6023

Now, list down the factors of 9710

1,2,5,10,971,1942,4855,9710

Greatest Common Factor

We found the factors 6023,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 6023,9710 is 1.

Lets's calculate LCM of 688,1243

Lowest Common Multiple of 688,1243 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 855184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/855184

Therefore, the GCF of Fractions 6023/688,9710/1243 is 1/855184

Least Common Multiple of 688,1243 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 688,1243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,1243) = 1

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

GCF(688,1243) x common factors =1 x 1 = 1

LCM(688,1243) = ( 688 × 1243 ) / 1

LCM(688,1243) = 855184 / 1

LCM(688,1243) = 855184

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FAQs on GCF of Fractions of 6023/688, 9710/1243

1. What is the HCF of 6023,9710?

The HCF of 6023,9710 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 6023/688, 9710/1243?

Answer: GCF of Numerators as per given numbers 6023/688, 9710/1243 is

GCF of Numerators i.e. for 6023,9710 is 1

LCM of denominators i.e. for 688,1243 is 855184.

Thus, GCF of Fractions is 1/855184.Finally, GCF of Fractions for 6023/688, 9710/1243 is 1/855184.