How to Find GCF of 848/94, 116/8609?

GCF of 848/94, 116/8609

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 848/94, 116/8609 i.e 4/809246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/94, 116/8609.

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 848/94,116/8609?

Given fractions are 848/94,116/8609

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 848/94,116/8609, numerators are 848,116

Denominators are 94,8609

The GCF of 848,116 is 4 .

LCM of 94,8609 is 809246.

The greatest common factor of 848/94,116/8609 = [GCF of 848,116]/[LCM of 94,8609]= 4/809246

Therefore, the GCF of 848/94,116/8609 is 4/809246.

Greatest Common Factor of 848,116

To find the highest common factor of 848,116, we have to find the factors of both numbers and list the highest common factor.

The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

The factors of 116 are 1, 2, 4, 29, 58, 116

The HCF of 848,116 is 4.

Lets's calculate GCF of 848,116

Greatest Common Factor (GCF) of 848,116 By Common Division

2	848, 116
2	424, 58
	212, 29

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 848,116 By Matching Biggest Common Factor Method

Now, list down the factors of 848

1,2,4,8,16,53,106,212,424,848

Now, list down the factors of 116

1,2,4,29,58,116

Greatest Common Factor

We found the factors 848,116 . The biggest common factor number is the GCF number.
So the greatest common factor 848,116 is 4.

Lets's calculate LCM of 94,8609

Lowest Common Multiple of 94,8609 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 809246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/809246

Therefore, the GCF of Fractions 848/94,116/8609 is 4/809246

Least Common Multiple of 94,8609 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 94,8609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,8609) = 1

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

GCF(94,8609) x common factors =1 x 1 = 1

LCM(94,8609) = ( 94 × 8609 ) / 1

LCM(94,8609) = 809246 / 1

LCM(94,8609) = 809246

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FAQs on GCF of Fractions of 848/94, 116/8609

1. What is the HCF of 848,116?

The HCF of 848,116 is 4

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 848/94, 116/8609?

Answer: GCF of Numerators as per given numbers 848/94, 116/8609 is

GCF of Numerators i.e. for 848,116 is 4

LCM of denominators i.e. for 94,8609 is 809246.

Thus, GCF of Fractions is 4/809246.Finally, GCF of Fractions for 848/94, 116/8609 is 4/809246.