How to Find GCF of 704/101, 592/629?

GCF of 704/101, 592/629

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 704/101, 592/629 i.e 16/63529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 704/101, 592/629.

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 704/101,592/629?

Given fractions are 704/101,592/629

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 704/101,592/629, numerators are 704,592

Denominators are 101,629

The GCF of 704,592 is 16 .

LCM of 101,629 is 63529.

The greatest common factor of 704/101,592/629 = [GCF of 704,592]/[LCM of 101,629]= 16/63529

Therefore, the GCF of 704/101,592/629 is 16/63529.

Greatest Common Factor of 704,592

To find the highest common factor of 704,592, 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 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

The HCF of 704,592 is 16.

Lets's calculate GCF of 704,592

Greatest Common Factor (GCF) of 704,592 By Common Division

2	704, 592
2	352, 296
2	176, 148
2	88, 74
	44, 37

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 704,592 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 592

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 704,592 . The biggest common factor number is the GCF number.
So the greatest common factor 704,592 is 16.

Lets's calculate LCM of 101,629

Lowest Common Multiple of 101,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 63529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/63529

Therefore, the GCF of Fractions 704/101,592/629 is 16/63529

Least Common Multiple of 101,629 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 101,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,629) = 1

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

GCF(101,629) x common factors =1 x 1 = 1

LCM(101,629) = ( 101 × 629 ) / 1

LCM(101,629) = 63529 / 1

LCM(101,629) = 63529

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FAQs on GCF of Fractions of 704/101, 592/629

1. What is the HCF of 704,592?

The HCF of 704,592 is 16

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 704/101, 592/629?

Answer: GCF of Numerators as per given numbers 704/101, 592/629 is

GCF of Numerators i.e. for 704,592 is 16

LCM of denominators i.e. for 101,629 is 63529.

Thus, GCF of Fractions is 16/63529.Finally, GCF of Fractions for 704/101, 592/629 is 16/63529.