How to Find GCF of 6530/694, 8944/2852?

GCF of 6530/694, 8944/2852

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 6530/694, 8944/2852 i.e 2/989644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6530/694, 8944/2852.

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 6530/694,8944/2852?

Given fractions are 6530/694,8944/2852

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 6530/694,8944/2852, numerators are 6530,8944

Denominators are 694,2852

The GCF of 6530,8944 is 2 .

LCM of 694,2852 is 989644.

The greatest common factor of 6530/694,8944/2852 = [GCF of 6530,8944]/[LCM of 694,2852]= 2/989644

Therefore, the GCF of 6530/694,8944/2852 is 2/989644.

Greatest Common Factor of 6530,8944

To find the highest common factor of 6530,8944, we have to find the factors of both numbers and list the highest common factor.

The factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530

The factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944

The HCF of 6530,8944 is 2.

Lets's calculate GCF of 6530,8944

Greatest Common Factor (GCF) of 6530,8944 By Common Division

2	6530, 8944
	3265, 4472

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6530,8944 By Matching Biggest Common Factor Method

Now, list down the factors of 6530

1,2,5,10,653,1306,3265,6530

Now, list down the factors of 8944

1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944

Greatest Common Factor

We found the factors 6530,8944 . The biggest common factor number is the GCF number.
So the greatest common factor 6530,8944 is 2.

Lets's calculate LCM of 694,2852

Lowest Common Multiple of 694,2852 using Common Division

2	694, 2852
	347, 1426

∴ So the LCM of the given numbers is 2 x 347 x 1426 = 989644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/989644

Therefore, the GCF of Fractions 6530/694,8944/2852 is 2/989644

Least Common Multiple of 694,2852 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 694,2852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,2852) = 2

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

GCF(694,2852) x common factors =2 x 1 = 2

LCM(694,2852) = ( 694 × 2852 ) / 2

LCM(694,2852) = 1979288 / 2

LCM(694,2852) = 989644

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6530/694, 8944/2852

1. What is the HCF of 6530,8944?

The HCF of 6530,8944 is 2

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 6530/694, 8944/2852?

Answer: GCF of Numerators as per given numbers 6530/694, 8944/2852 is

GCF of Numerators i.e. for 6530,8944 is 2

LCM of denominators i.e. for 694,2852 is 989644.

Thus, GCF of Fractions is 2/989644.Finally, GCF of Fractions for 6530/694, 8944/2852 is 2/989644.