How to Find GCF of 153/314, 4429/5561?

GCF of 153/314, 4429/5561

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 153/314, 4429/5561 i.e 1/1746154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 153/314, 4429/5561.

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 153/314,4429/5561?

Given fractions are 153/314,4429/5561

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 153/314,4429/5561, numerators are 153,4429

Denominators are 314,5561

The GCF of 153,4429 is 1 .

LCM of 314,5561 is 1746154.

The greatest common factor of 153/314,4429/5561 = [GCF of 153,4429]/[LCM of 314,5561]= 1/1746154

Therefore, the GCF of 153/314,4429/5561 is 1/1746154.

Greatest Common Factor of 153,4429

To find the highest common factor of 153,4429, we have to find the factors of both numbers and list the highest common factor.

The factors of 153 are 1, 3, 9, 17, 51, 153

The factors of 4429 are 1, 43, 103, 4429

The HCF of 153,4429 is 1.

Lets's calculate GCF of 153,4429

Greatest Common Factor (GCF) of 153,4429 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 153,4429 By Matching Biggest Common Factor Method

Now, list down the factors of 153

1,3,9,17,51,153

Now, list down the factors of 4429

1,43,103,4429

Greatest Common Factor

We found the factors 153,4429 . The biggest common factor number is the GCF number.
So the greatest common factor 153,4429 is 1.

Lets's calculate LCM of 314,5561

Lowest Common Multiple of 314,5561 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1746154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1746154

Therefore, the GCF of Fractions 153/314,4429/5561 is 1/1746154

Least Common Multiple of 314,5561 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 314,5561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,5561) = 1

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

GCF(314,5561) x common factors =1 x 1 = 1

LCM(314,5561) = ( 314 × 5561 ) / 1

LCM(314,5561) = 1746154 / 1

LCM(314,5561) = 1746154

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FAQs on GCF of Fractions of 153/314, 4429/5561

1. What is the HCF of 153,4429?

The HCF of 153,4429 is 1

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 153/314, 4429/5561?

Answer: GCF of Numerators as per given numbers 153/314, 4429/5561 is

GCF of Numerators i.e. for 153,4429 is 1

LCM of denominators i.e. for 314,5561 is 1746154.

Thus, GCF of Fractions is 1/1746154.Finally, GCF of Fractions for 153/314, 4429/5561 is 1/1746154.