How to Find GCF of 594/965, 812/114?

GCF of 594/965, 812/114

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 594/965, 812/114 i.e 2/110010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/965, 812/114.

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 594/965,812/114?

Given fractions are 594/965,812/114

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 594/965,812/114, numerators are 594,812

Denominators are 965,114

The GCF of 594,812 is 2 .

LCM of 965,114 is 110010.

The greatest common factor of 594/965,812/114 = [GCF of 594,812]/[LCM of 965,114]= 2/110010

Therefore, the GCF of 594/965,812/114 is 2/110010.

Greatest Common Factor of 594,812

To find the highest common factor of 594,812, we have to find the factors of both numbers and list the highest common factor.

The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The HCF of 594,812 is 2.

Lets's calculate GCF of 594,812

Greatest Common Factor (GCF) of 594,812 By Common Division

2	594, 812
	297, 406

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

Greatest Common Factor of 594,812 By Matching Biggest Common Factor Method

Now, list down the factors of 594

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 594,812 . The biggest common factor number is the GCF number.
So the greatest common factor 594,812 is 2.

Lets's calculate LCM of 965,114

Lowest Common Multiple of 965,114 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 110010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110010

Therefore, the GCF of Fractions 594/965,812/114 is 2/110010

Least Common Multiple of 965,114 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 965,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(965,114) = 1

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

GCF(965,114) x common factors =1 x 1 = 1

LCM(965,114) = ( 965 × 114 ) / 1

LCM(965,114) = 110010 / 1

LCM(965,114) = 110010

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FAQs on GCF of Fractions of 594/965, 812/114

1. What is the HCF of 594,812?

The HCF of 594,812 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 594/965, 812/114?

Answer: GCF of Numerators as per given numbers 594/965, 812/114 is

GCF of Numerators i.e. for 594,812 is 2

LCM of denominators i.e. for 965,114 is 110010.

Thus, GCF of Fractions is 2/110010.Finally, GCF of Fractions for 594/965, 812/114 is 2/110010.