How to Find GCF of 886/571, 1772/1025?

GCF of 886/571, 1772/1025

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 886/571, 1772/1025 i.e 886/585275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/571, 1772/1025.

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 886/571,1772/1025?

Given fractions are 886/571,1772/1025

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 886/571,1772/1025, numerators are 886,1772

Denominators are 571,1025

The GCF of 886,1772 is 886 .

LCM of 571,1025 is 585275.

The greatest common factor of 886/571,1772/1025 = [GCF of 886,1772]/[LCM of 571,1025]= 886/585275

Therefore, the GCF of 886/571,1772/1025 is 886/585275.

Greatest Common Factor of 886,1772

To find the highest common factor of 886,1772, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 1772 are 1, 2, 4, 443, 886, 1772

The HCF of 886,1772 is 886.

Lets's calculate GCF of 886,1772

Greatest Common Factor (GCF) of 886,1772 By Common Division

2	886, 1772
443	443, 886
	1, 2

∴ So the GCF of the given numbers is 2 x 443 = 886

Greatest Common Factor of 886,1772 By Matching Biggest Common Factor Method

Now, list down the factors of 886

1,2,443,886

Now, list down the factors of 1772

1,2,4,443,886,1772

Greatest Common Factor

We found the factors 886,1772 . The biggest common factor number is the GCF number.
So the greatest common factor 886,1772 is 886.

Lets's calculate LCM of 571,1025

Lowest Common Multiple of 571,1025 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 585275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 886/585275

Therefore, the GCF of Fractions 886/571,1772/1025 is 886/585275

Least Common Multiple of 571,1025 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 571,1025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(571,1025) = 1

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

GCF(571,1025) x common factors =1 x 1 = 1

LCM(571,1025) = ( 571 × 1025 ) / 1

LCM(571,1025) = 585275 / 1

LCM(571,1025) = 585275

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FAQs on GCF of Fractions of 886/571, 1772/1025

1. What is the HCF of 886,1772?

The HCF of 886,1772 is 886

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 886/571, 1772/1025?

Answer: GCF of Numerators as per given numbers 886/571, 1772/1025 is

GCF of Numerators i.e. for 886,1772 is 886

LCM of denominators i.e. for 571,1025 is 585275.

Thus, GCF of Fractions is 886/585275.Finally, GCF of Fractions for 886/571, 1772/1025 is 886/585275.