How to Find GCF of 2537/222, 2545/1009?

GCF of 2537/222, 2545/1009

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 2537/222, 2545/1009 i.e 1/223998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2537/222, 2545/1009.

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 2537/222,2545/1009?

Given fractions are 2537/222,2545/1009

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 2537/222,2545/1009, numerators are 2537,2545

Denominators are 222,1009

The GCF of 2537,2545 is 1 .

LCM of 222,1009 is 223998.

The greatest common factor of 2537/222,2545/1009 = [GCF of 2537,2545]/[LCM of 222,1009]= 1/223998

Therefore, the GCF of 2537/222,2545/1009 is 1/223998.

Greatest Common Factor of 2537,2545

To find the highest common factor of 2537,2545, we have to find the factors of both numbers and list the highest common factor.

The factors of 2537 are 1, 43, 59, 2537

The factors of 2545 are 1, 5, 509, 2545

The HCF of 2537,2545 is 1.

Lets's calculate GCF of 2537,2545

Greatest Common Factor (GCF) of 2537,2545 By Common Division

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

Greatest Common Factor of 2537,2545 By Matching Biggest Common Factor Method

Now, list down the factors of 2537

1,43,59,2537

Now, list down the factors of 2545

1,5,509,2545

Greatest Common Factor

We found the factors 2537,2545 . The biggest common factor number is the GCF number.
So the greatest common factor 2537,2545 is 1.

Lets's calculate LCM of 222,1009

Lowest Common Multiple of 222,1009 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 223998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223998

Therefore, the GCF of Fractions 2537/222,2545/1009 is 1/223998

Least Common Multiple of 222,1009 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 222,1009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,1009) = 1

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

GCF(222,1009) x common factors =1 x 1 = 1

LCM(222,1009) = ( 222 × 1009 ) / 1

LCM(222,1009) = 223998 / 1

LCM(222,1009) = 223998

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FAQs on GCF of Fractions of 2537/222, 2545/1009

1. What is the HCF of 2537,2545?

The HCF of 2537,2545 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 2537/222, 2545/1009?

Answer: GCF of Numerators as per given numbers 2537/222, 2545/1009 is

GCF of Numerators i.e. for 2537,2545 is 1

LCM of denominators i.e. for 222,1009 is 223998.

Thus, GCF of Fractions is 1/223998.Finally, GCF of Fractions for 2537/222, 2545/1009 is 1/223998.