How to Find GCF of 704/551, 1064/2755?

GCF of 704/551, 1064/2755

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 704/551, 1064/2755 i.e 8/2755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 704/551, 1064/2755.

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 704/551,1064/2755?

Given fractions are 704/551,1064/2755

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 704/551,1064/2755, numerators are 704,1064

Denominators are 551,2755

The GCF of 704,1064 is 8 .

LCM of 551,2755 is 2755.

The greatest common factor of 704/551,1064/2755 = [GCF of 704,1064]/[LCM of 551,2755]= 8/2755

Therefore, the GCF of 704/551,1064/2755 is 8/2755.

Greatest Common Factor of 704,1064

To find the highest common factor of 704,1064, we have to find the factors of both numbers and list the highest common factor.

The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

The factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064

The HCF of 704,1064 is 8.

Lets's calculate GCF of 704,1064

Greatest Common Factor (GCF) of 704,1064 By Common Division

2	704, 1064
2	352, 532
2	176, 266
	88, 133

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

Greatest Common Factor of 704,1064 By Matching Biggest Common Factor Method

Now, list down the factors of 704

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Now, list down the factors of 1064

1,2,4,7,8,14,19,28,38,56,76,133,152,266,532,1064

Greatest Common Factor

We found the factors 704,1064 . The biggest common factor number is the GCF number.
So the greatest common factor 704,1064 is 8.

Lets's calculate LCM of 551,2755

Lowest Common Multiple of 551,2755 using Common Division

19	551, 2755
29	29, 145
	1, 5

∴ So the LCM of the given numbers is 19 x 29 x 1 x 5 = 2755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2755

Therefore, the GCF of Fractions 704/551,1064/2755 is 8/2755

Least Common Multiple of 551,2755 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 551,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(551,2755) = 551

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

GCF(551,2755) x common factors =551 x 1 = 551

LCM(551,2755) = ( 551 × 2755 ) / 551

LCM(551,2755) = 1518005 / 551

LCM(551,2755) = 2755

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FAQs on GCF of Fractions of 704/551, 1064/2755

1. What is the HCF of 704,1064?

The HCF of 704,1064 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 704/551, 1064/2755?

Answer: GCF of Numerators as per given numbers 704/551, 1064/2755 is

GCF of Numerators i.e. for 704,1064 is 8

LCM of denominators i.e. for 551,2755 is 2755.

Thus, GCF of Fractions is 8/2755.Finally, GCF of Fractions for 704/551, 1064/2755 is 8/2755.