How to Find GCF of 3867/310, 1870/7861?

GCF of 3867/310, 1870/7861

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 3867/310, 1870/7861 i.e 1/2436910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3867/310, 1870/7861.

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 3867/310,1870/7861?

Given fractions are 3867/310,1870/7861

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 3867/310,1870/7861, numerators are 3867,1870

Denominators are 310,7861

The GCF of 3867,1870 is 1 .

LCM of 310,7861 is 2436910.

The greatest common factor of 3867/310,1870/7861 = [GCF of 3867,1870]/[LCM of 310,7861]= 1/2436910

Therefore, the GCF of 3867/310,1870/7861 is 1/2436910.

Greatest Common Factor of 3867,1870

To find the highest common factor of 3867,1870, we have to find the factors of both numbers and list the highest common factor.

The factors of 3867 are 1, 3, 1289, 3867

The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870

The HCF of 3867,1870 is 1.

Lets's calculate GCF of 3867,1870

Greatest Common Factor (GCF) of 3867,1870 By Common Division

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

Greatest Common Factor of 3867,1870 By Matching Biggest Common Factor Method

Now, list down the factors of 3867

1,3,1289,3867

Now, list down the factors of 1870

1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870

Greatest Common Factor

We found the factors 3867,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 3867,1870 is 1.

Lets's calculate LCM of 310,7861

Lowest Common Multiple of 310,7861 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2436910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2436910

Therefore, the GCF of Fractions 3867/310,1870/7861 is 1/2436910

Least Common Multiple of 310,7861 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 310,7861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,7861) = 1

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

GCF(310,7861) x common factors =1 x 1 = 1

LCM(310,7861) = ( 310 × 7861 ) / 1

LCM(310,7861) = 2436910 / 1

LCM(310,7861) = 2436910

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3867/310, 1870/7861

1. What is the HCF of 3867,1870?

The HCF of 3867,1870 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 3867/310, 1870/7861?

Answer: GCF of Numerators as per given numbers 3867/310, 1870/7861 is

GCF of Numerators i.e. for 3867,1870 is 1

LCM of denominators i.e. for 310,7861 is 2436910.

Thus, GCF of Fractions is 1/2436910.Finally, GCF of Fractions for 3867/310, 1870/7861 is 1/2436910.