How to Find GCF of 6215/972, 3009/1950?

GCF of 6215/972, 3009/1950

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 6215/972, 3009/1950 i.e 1/315900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6215/972, 3009/1950.

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 6215/972,3009/1950?

Given fractions are 6215/972,3009/1950

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 6215/972,3009/1950, numerators are 6215,3009

Denominators are 972,1950

The GCF of 6215,3009 is 1 .

LCM of 972,1950 is 315900.

The greatest common factor of 6215/972,3009/1950 = [GCF of 6215,3009]/[LCM of 972,1950]= 1/315900

Therefore, the GCF of 6215/972,3009/1950 is 1/315900.

Greatest Common Factor of 6215,3009

To find the highest common factor of 6215,3009, we have to find the factors of both numbers and list the highest common factor.

The factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215

The factors of 3009 are 1, 3, 17, 51, 59, 177, 1003, 3009

The HCF of 6215,3009 is 1.

Lets's calculate GCF of 6215,3009

Greatest Common Factor (GCF) of 6215,3009 By Common Division

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

Greatest Common Factor of 6215,3009 By Matching Biggest Common Factor Method

Now, list down the factors of 6215

1,5,11,55,113,565,1243,6215

Now, list down the factors of 3009

1,3,17,51,59,177,1003,3009

Greatest Common Factor

We found the factors 6215,3009 . The biggest common factor number is the GCF number.
So the greatest common factor 6215,3009 is 1.

Lets's calculate LCM of 972,1950

Lowest Common Multiple of 972,1950 using Common Division

2	972, 1950
3	486, 975
	162, 325

∴ So the LCM of the given numbers is 2 x 3 x 162 x 325 = 315900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315900

Therefore, the GCF of Fractions 6215/972,3009/1950 is 1/315900

Least Common Multiple of 972,1950 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 972,1950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,1950) = 6

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

GCF(972,1950) x common factors =6 x 1 = 6

LCM(972,1950) = ( 972 × 1950 ) / 6

LCM(972,1950) = 1895400 / 6

LCM(972,1950) = 315900

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FAQs on GCF of Fractions of 6215/972, 3009/1950

1. What is the HCF of 6215,3009?

The HCF of 6215,3009 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 6215/972, 3009/1950?

Answer: GCF of Numerators as per given numbers 6215/972, 3009/1950 is

GCF of Numerators i.e. for 6215,3009 is 1

LCM of denominators i.e. for 972,1950 is 315900.

Thus, GCF of Fractions is 1/315900.Finally, GCF of Fractions for 6215/972, 3009/1950 is 1/315900.