How to Find GCF of 1235/824, 9983/5687?

GCF of 1235/824, 9983/5687

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 1235/824, 9983/5687 i.e 1/4686088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1235/824, 9983/5687.

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 1235/824,9983/5687?

Given fractions are 1235/824,9983/5687

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 1235/824,9983/5687, numerators are 1235,9983

Denominators are 824,5687

The GCF of 1235,9983 is 1 .

LCM of 824,5687 is 4686088.

The greatest common factor of 1235/824,9983/5687 = [GCF of 1235,9983]/[LCM of 824,5687]= 1/4686088

Therefore, the GCF of 1235/824,9983/5687 is 1/4686088.

Greatest Common Factor of 1235,9983

To find the highest common factor of 1235,9983, we have to find the factors of both numbers and list the highest common factor.

The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235

The factors of 9983 are 1, 67, 149, 9983

The HCF of 1235,9983 is 1.

Lets's calculate GCF of 1235,9983

Greatest Common Factor (GCF) of 1235,9983 By Common Division

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

Greatest Common Factor of 1235,9983 By Matching Biggest Common Factor Method

Now, list down the factors of 1235

1,5,13,19,65,95,247,1235

Now, list down the factors of 9983

1,67,149,9983

Greatest Common Factor

We found the factors 1235,9983 . The biggest common factor number is the GCF number.
So the greatest common factor 1235,9983 is 1.

Lets's calculate LCM of 824,5687

Lowest Common Multiple of 824,5687 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4686088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4686088

Therefore, the GCF of Fractions 1235/824,9983/5687 is 1/4686088

Least Common Multiple of 824,5687 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 824,5687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,5687) = 1

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

GCF(824,5687) x common factors =1 x 1 = 1

LCM(824,5687) = ( 824 × 5687 ) / 1

LCM(824,5687) = 4686088 / 1

LCM(824,5687) = 4686088

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FAQs on GCF of Fractions of 1235/824, 9983/5687

1. What is the HCF of 1235,9983?

The HCF of 1235,9983 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 1235/824, 9983/5687?

Answer: GCF of Numerators as per given numbers 1235/824, 9983/5687 is

GCF of Numerators i.e. for 1235,9983 is 1

LCM of denominators i.e. for 824,5687 is 4686088.

Thus, GCF of Fractions is 1/4686088.Finally, GCF of Fractions for 1235/824, 9983/5687 is 1/4686088.