How to Find GCF of 210/921, 7640/385?

GCF of 210/921, 7640/385

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 210/921, 7640/385 i.e 10/354585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 210/921, 7640/385.

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 210/921,7640/385?

Given fractions are 210/921,7640/385

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 210/921,7640/385, numerators are 210,7640

Denominators are 921,385

The GCF of 210,7640 is 10 .

LCM of 921,385 is 354585.

The greatest common factor of 210/921,7640/385 = [GCF of 210,7640]/[LCM of 921,385]= 10/354585

Therefore, the GCF of 210/921,7640/385 is 10/354585.

Greatest Common Factor of 210,7640

To find the highest common factor of 210,7640, we have to find the factors of both numbers and list the highest common factor.

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640

The HCF of 210,7640 is 10.

Lets's calculate GCF of 210,7640

Greatest Common Factor (GCF) of 210,7640 By Common Division

2	210, 7640
5	105, 3820
	21, 764

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 210,7640 By Matching Biggest Common Factor Method

Now, list down the factors of 210

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Now, list down the factors of 7640

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 210,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 210,7640 is 10.

Lets's calculate LCM of 921,385

Lowest Common Multiple of 921,385 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 354585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/354585

Therefore, the GCF of Fractions 210/921,7640/385 is 10/354585

Least Common Multiple of 921,385 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 921,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(921,385) = 1

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

GCF(921,385) x common factors =1 x 1 = 1

LCM(921,385) = ( 921 × 385 ) / 1

LCM(921,385) = 354585 / 1

LCM(921,385) = 354585

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FAQs on GCF of Fractions of 210/921, 7640/385

1. What is the HCF of 210,7640?

The HCF of 210,7640 is 10

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 210/921, 7640/385?

Answer: GCF of Numerators as per given numbers 210/921, 7640/385 is

GCF of Numerators i.e. for 210,7640 is 10

LCM of denominators i.e. for 921,385 is 354585.

Thus, GCF of Fractions is 10/354585.Finally, GCF of Fractions for 210/921, 7640/385 is 10/354585.