How to Find GCF of 1153/563, 2926/5588?

GCF of 1153/563, 2926/5588

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 1153/563, 2926/5588 i.e 1/3146044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1153/563, 2926/5588.

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 1153/563,2926/5588?

Given fractions are 1153/563,2926/5588

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 1153/563,2926/5588, numerators are 1153,2926

Denominators are 563,5588

The GCF of 1153,2926 is 1 .

LCM of 563,5588 is 3146044.

The greatest common factor of 1153/563,2926/5588 = [GCF of 1153,2926]/[LCM of 563,5588]= 1/3146044

Therefore, the GCF of 1153/563,2926/5588 is 1/3146044.

Greatest Common Factor of 1153,2926

To find the highest common factor of 1153,2926, we have to find the factors of both numbers and list the highest common factor.

The factors of 1153 are 1, 1153

The factors of 2926 are 1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463, 2926

The HCF of 1153,2926 is 1.

Lets's calculate GCF of 1153,2926

Greatest Common Factor (GCF) of 1153,2926 By Common Division

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

Greatest Common Factor of 1153,2926 By Matching Biggest Common Factor Method

Now, list down the factors of 1153

1,1153

Now, list down the factors of 2926

1,2,7,11,14,19,22,38,77,133,154,209,266,418,1463,2926

Greatest Common Factor

We found the factors 1153,2926 . The biggest common factor number is the GCF number.
So the greatest common factor 1153,2926 is 1.

Lets's calculate LCM of 563,5588

Lowest Common Multiple of 563,5588 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3146044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3146044

Therefore, the GCF of Fractions 1153/563,2926/5588 is 1/3146044

Least Common Multiple of 563,5588 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 563,5588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(563,5588) = 1

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

GCF(563,5588) x common factors =1 x 1 = 1

LCM(563,5588) = ( 563 × 5588 ) / 1

LCM(563,5588) = 3146044 / 1

LCM(563,5588) = 3146044

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1153/563, 2926/5588

1. What is the HCF of 1153,2926?

The HCF of 1153,2926 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 1153/563, 2926/5588?

Answer: GCF of Numerators as per given numbers 1153/563, 2926/5588 is

GCF of Numerators i.e. for 1153,2926 is 1

LCM of denominators i.e. for 563,5588 is 3146044.

Thus, GCF of Fractions is 1/3146044.Finally, GCF of Fractions for 1153/563, 2926/5588 is 1/3146044.