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GCF of 768/701, 5854/438

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 768/701, 5854/438 i.e 2/307038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 768/701, 5854/438.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 768/701,5854/438?

Given fractions are 768/701,5854/438

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 768/701,5854/438, numerators are 768,5854

Denominators are 701,438

The GCF of 768,5854 is 2 .

LCM of 701,438 is 307038.

The greatest common factor of 768/701,5854/438 = [GCF of 768,5854]/[LCM of 701,438]= 2/307038

Therefore, the GCF of 768/701,5854/438 is 2/307038.

Greatest Common Factor of 768,5854

To find the highest common factor of 768,5854, we have to find the factors of both numbers and list the highest common factor.

The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

The factors of 5854 are 1, 2, 2927, 5854

The HCF of 768,5854 is 2.

Lets's calculate GCF of 768,5854

Greatest Common Factor (GCF) of 768,5854 By Common Division

2 768, 5854
384, 2927

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

Greatest Common Factor of 768,5854 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,5854 By Matching Biggest Common Factor Method

Now, list down the factors of 768

:

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Now, list down the factors of 5854

:

1,2,2927,5854

Greatest Common Factor

We found the factors 768,5854 . The biggest common factor number is the GCF number.
So the greatest common factor 768,5854 is 2.


Lets's calculate LCM of 701,438

Lowest Common Multiple of 701,438 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 307038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/307038

Therefore, the GCF of Fractions 768/701,5854/438 is 2/307038

Least Common Multiple of 701,438 with GCF Formula

Least Common Multiple of 701,438 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 701,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,438) = 1

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

GCF(701,438) x common factors =1 x 1 = 1

LCM(701,438) = ( 701 × 438 ) / 1

LCM(701,438) = 307038 / 1

LCM(701,438) = 307038


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 768/701, 5854/438

1. What is the HCF of 768,5854?

The HCF of 768,5854 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 768/701, 5854/438?

Answer: GCF of Numerators as per given numbers 768/701, 5854/438 is

GCF of Numerators i.e. for 768,5854 is 2

LCM of denominators i.e. for 701,438 is 307038.

Thus, GCF of Fractions is 2/307038.Finally, GCF of Fractions for 768/701, 5854/438 is 2/307038.