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GCF of 2237/563, 3509/7319

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 2237/563, 3509/7319 i.e 1/7319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2237/563, 3509/7319.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2237/563,3509/7319?

Given fractions are 2237/563,3509/7319

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 2237/563,3509/7319, numerators are 2237,3509

Denominators are 563,7319

The GCF of 2237,3509 is 1 .

LCM of 563,7319 is 7319.

The greatest common factor of 2237/563,3509/7319 = [GCF of 2237,3509]/[LCM of 563,7319]= 1/7319

Therefore, the GCF of 2237/563,3509/7319 is 1/7319.

Greatest Common Factor of 2237,3509

To find the highest common factor of 2237,3509, we have to find the factors of both numbers and list the highest common factor.

The factors of 2237 are 1, 2237

The factors of 3509 are 1, 11, 29, 121, 319, 3509

The HCF of 2237,3509 is 1.

Lets's calculate GCF of 2237,3509

Greatest Common Factor (GCF) of 2237,3509 By Common Division

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

Greatest Common Factor of 2237,3509 By Matching Biggest Common Factor Method

Greatest Common Factor of 2237,3509 By Matching Biggest Common Factor Method

Now, list down the factors of 2237

:

1,2237

Now, list down the factors of 3509

:

1,11,29,121,319,3509

Greatest Common Factor

We found the factors 2237,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 2237,3509 is 1.

Lets's calculate LCM of 563,7319

Lowest Common Multiple of 563,7319 using Common Division

563 563, 7319
1, 13

∴ So the LCM of the given numbers is 563 x 1 x 13 = 7319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7319

Therefore, the GCF of Fractions 2237/563,3509/7319 is 1/7319

Least Common Multiple of 563,7319 with GCF Formula

Least Common Multiple of 563,7319 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 563,7319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,7319) = 563

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

GCF(563,7319) x common factors =563 x 1 = 563

LCM(563,7319) = ( 563 × 7319 ) / 563

LCM(563,7319) = 4120597 / 563

LCM(563,7319) = 7319


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2237/563, 3509/7319

1. What is the HCF of 2237,3509?

The HCF of 2237,3509 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 2237/563, 3509/7319?

Answer: GCF of Numerators as per given numbers 2237/563, 3509/7319 is

GCF of Numerators i.e. for 2237,3509 is 1

LCM of denominators i.e. for 563,7319 is 7319.

Thus, GCF of Fractions is 1/7319.Finally, GCF of Fractions for 2237/563, 3509/7319 is 1/7319.