How to Find GCF of 3064/678, 4408/937?

GCF of 3064/678, 4408/937

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 3064/678, 4408/937 i.e 8/635286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3064/678, 4408/937.

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 3064/678,4408/937?

Given fractions are 3064/678,4408/937

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 3064/678,4408/937, numerators are 3064,4408

Denominators are 678,937

The GCF of 3064,4408 is 8 .

LCM of 678,937 is 635286.

The greatest common factor of 3064/678,4408/937 = [GCF of 3064,4408]/[LCM of 678,937]= 8/635286

Therefore, the GCF of 3064/678,4408/937 is 8/635286.

Greatest Common Factor of 3064,4408

To find the highest common factor of 3064,4408, we have to find the factors of both numbers and list the highest common factor.

The factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064

The factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408

The HCF of 3064,4408 is 8.

Lets's calculate GCF of 3064,4408

Greatest Common Factor (GCF) of 3064,4408 By Common Division

2	3064, 4408
2	1532, 2204
2	766, 1102
	383, 551

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3064,4408 By Matching Biggest Common Factor Method

Now, list down the factors of 3064

1,2,4,8,383,766,1532,3064

Now, list down the factors of 4408

1,2,4,8,19,29,38,58,76,116,152,232,551,1102,2204,4408

Greatest Common Factor

We found the factors 3064,4408 . The biggest common factor number is the GCF number.
So the greatest common factor 3064,4408 is 8.

Lets's calculate LCM of 678,937

Lowest Common Multiple of 678,937 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 635286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/635286

Therefore, the GCF of Fractions 3064/678,4408/937 is 8/635286

Least Common Multiple of 678,937 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 678,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,937) = 1

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

GCF(678,937) x common factors =1 x 1 = 1

LCM(678,937) = ( 678 × 937 ) / 1

LCM(678,937) = 635286 / 1

LCM(678,937) = 635286

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FAQs on GCF of Fractions of 3064/678, 4408/937

1. What is the HCF of 3064,4408?

The HCF of 3064,4408 is 8

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 3064/678, 4408/937?

Answer: GCF of Numerators as per given numbers 3064/678, 4408/937 is

GCF of Numerators i.e. for 3064,4408 is 8

LCM of denominators i.e. for 678,937 is 635286.

Thus, GCF of Fractions is 8/635286.Finally, GCF of Fractions for 3064/678, 4408/937 is 8/635286.