How to Find GCF of 34/529, 5423/1126?

GCF of 34/529, 5423/1126

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 34/529, 5423/1126 i.e 17/595654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/529, 5423/1126.

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 34/529,5423/1126?

Given fractions are 34/529,5423/1126

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 34/529,5423/1126, numerators are 34,5423

Denominators are 529,1126

The GCF of 34,5423 is 17 .

LCM of 529,1126 is 595654.

The greatest common factor of 34/529,5423/1126 = [GCF of 34,5423]/[LCM of 529,1126]= 17/595654

Therefore, the GCF of 34/529,5423/1126 is 17/595654.

Greatest Common Factor of 34,5423

To find the highest common factor of 34,5423, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423

The HCF of 34,5423 is 17.

Lets's calculate GCF of 34,5423

Greatest Common Factor (GCF) of 34,5423 By Common Division

17	34, 5423
	2, 319

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 34,5423 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 5423

1,11,17,29,187,319,493,5423

Greatest Common Factor

We found the factors 34,5423 . The biggest common factor number is the GCF number.
So the greatest common factor 34,5423 is 17.

Lets's calculate LCM of 529,1126

Lowest Common Multiple of 529,1126 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 595654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/595654

Therefore, the GCF of Fractions 34/529,5423/1126 is 17/595654

Least Common Multiple of 529,1126 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 529,1126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,1126) = 1

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

GCF(529,1126) x common factors =1 x 1 = 1

LCM(529,1126) = ( 529 × 1126 ) / 1

LCM(529,1126) = 595654 / 1

LCM(529,1126) = 595654

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FAQs on GCF of Fractions of 34/529, 5423/1126

1. What is the HCF of 34,5423?

The HCF of 34,5423 is 17

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 34/529, 5423/1126?

Answer: GCF of Numerators as per given numbers 34/529, 5423/1126 is

GCF of Numerators i.e. for 34,5423 is 17

LCM of denominators i.e. for 529,1126 is 595654.

Thus, GCF of Fractions is 17/595654.Finally, GCF of Fractions for 34/529, 5423/1126 is 17/595654.