How to Find GCF of 1282/570, 3895/7861?

GCF of 1282/570, 3895/7861

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 1282/570, 3895/7861 i.e 1/4480770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1282/570, 3895/7861.

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 1282/570,3895/7861?

Given fractions are 1282/570,3895/7861

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 1282/570,3895/7861, numerators are 1282,3895

Denominators are 570,7861

The GCF of 1282,3895 is 1 .

LCM of 570,7861 is 4480770.

The greatest common factor of 1282/570,3895/7861 = [GCF of 1282,3895]/[LCM of 570,7861]= 1/4480770

Therefore, the GCF of 1282/570,3895/7861 is 1/4480770.

Greatest Common Factor of 1282,3895

To find the highest common factor of 1282,3895, we have to find the factors of both numbers and list the highest common factor.

The factors of 1282 are 1, 2, 641, 1282

The factors of 3895 are 1, 5, 19, 41, 95, 205, 779, 3895

The HCF of 1282,3895 is 1.

Lets's calculate GCF of 1282,3895

Greatest Common Factor (GCF) of 1282,3895 By Common Division

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

Greatest Common Factor of 1282,3895 By Matching Biggest Common Factor Method

Now, list down the factors of 1282

1,2,641,1282

Now, list down the factors of 3895

1,5,19,41,95,205,779,3895

Greatest Common Factor

We found the factors 1282,3895 . The biggest common factor number is the GCF number.
So the greatest common factor 1282,3895 is 1.

Lets's calculate LCM of 570,7861

Lowest Common Multiple of 570,7861 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4480770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4480770

Therefore, the GCF of Fractions 1282/570,3895/7861 is 1/4480770

Least Common Multiple of 570,7861 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 570,7861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,7861) = 1

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

GCF(570,7861) x common factors =1 x 1 = 1

LCM(570,7861) = ( 570 × 7861 ) / 1

LCM(570,7861) = 4480770 / 1

LCM(570,7861) = 4480770

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FAQs on GCF of Fractions of 1282/570, 3895/7861

1. What is the HCF of 1282,3895?

The HCF of 1282,3895 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 1282/570, 3895/7861?

Answer: GCF of Numerators as per given numbers 1282/570, 3895/7861 is

GCF of Numerators i.e. for 1282,3895 is 1

LCM of denominators i.e. for 570,7861 is 4480770.

Thus, GCF of Fractions is 1/4480770.Finally, GCF of Fractions for 1282/570, 3895/7861 is 1/4480770.