How to Find GCF of 6700/612, 7203/6972?

GCF of 6700/612, 7203/6972

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 6700/612, 7203/6972 i.e 1/355572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6700/612, 7203/6972.

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 6700/612,7203/6972?

Given fractions are 6700/612,7203/6972

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 6700/612,7203/6972, numerators are 6700,7203

Denominators are 612,6972

The GCF of 6700,7203 is 1 .

LCM of 612,6972 is 355572.

The greatest common factor of 6700/612,7203/6972 = [GCF of 6700,7203]/[LCM of 612,6972]= 1/355572

Therefore, the GCF of 6700/612,7203/6972 is 1/355572.

Greatest Common Factor of 6700,7203

To find the highest common factor of 6700,7203, we have to find the factors of both numbers and list the highest common factor.

The factors of 6700 are 1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 134, 268, 335, 670, 1340, 1675, 3350, 6700

The factors of 7203 are 1, 3, 7, 21, 49, 147, 343, 1029, 2401, 7203

The HCF of 6700,7203 is 1.

Lets's calculate GCF of 6700,7203

Greatest Common Factor (GCF) of 6700,7203 By Common Division

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

Greatest Common Factor of 6700,7203 By Matching Biggest Common Factor Method

Now, list down the factors of 6700

1,2,4,5,10,20,25,50,67,100,134,268,335,670,1340,1675,3350,6700

Now, list down the factors of 7203

1,3,7,21,49,147,343,1029,2401,7203

Greatest Common Factor

We found the factors 6700,7203 . The biggest common factor number is the GCF number.
So the greatest common factor 6700,7203 is 1.

Lets's calculate LCM of 612,6972

Lowest Common Multiple of 612,6972 using Common Division

2	612, 6972
2	306, 3486
3	153, 1743
	51, 581

∴ So the LCM of the given numbers is 2 x 2 x 3 x 51 x 581 = 355572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355572

Therefore, the GCF of Fractions 6700/612,7203/6972 is 1/355572

Least Common Multiple of 612,6972 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 612,6972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,6972) = 12

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

GCF(612,6972) x common factors =12 x 1 = 12

LCM(612,6972) = ( 612 × 6972 ) / 12

LCM(612,6972) = 4266864 / 12

LCM(612,6972) = 355572

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FAQs on GCF of Fractions of 6700/612, 7203/6972

1. What is the HCF of 6700,7203?

The HCF of 6700,7203 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 6700/612, 7203/6972?

Answer: GCF of Numerators as per given numbers 6700/612, 7203/6972 is

GCF of Numerators i.e. for 6700,7203 is 1

LCM of denominators i.e. for 612,6972 is 355572.

Thus, GCF of Fractions is 1/355572.Finally, GCF of Fractions for 6700/612, 7203/6972 is 1/355572.