How to Find GCF of 4538/693, 9169/1244?

GCF of 4538/693, 9169/1244

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 4538/693, 9169/1244 i.e 1/862092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4538/693, 9169/1244.

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 4538/693,9169/1244?

Given fractions are 4538/693,9169/1244

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 4538/693,9169/1244, numerators are 4538,9169

Denominators are 693,1244

The GCF of 4538,9169 is 1 .

LCM of 693,1244 is 862092.

The greatest common factor of 4538/693,9169/1244 = [GCF of 4538,9169]/[LCM of 693,1244]= 1/862092

Therefore, the GCF of 4538/693,9169/1244 is 1/862092.

Greatest Common Factor of 4538,9169

To find the highest common factor of 4538,9169, we have to find the factors of both numbers and list the highest common factor.

The factors of 4538 are 1, 2, 2269, 4538

The factors of 9169 are 1, 53, 173, 9169

The HCF of 4538,9169 is 1.

Lets's calculate GCF of 4538,9169

Greatest Common Factor (GCF) of 4538,9169 By Common Division

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

Greatest Common Factor of 4538,9169 By Matching Biggest Common Factor Method

Now, list down the factors of 4538

1,2,2269,4538

Now, list down the factors of 9169

1,53,173,9169

Greatest Common Factor

We found the factors 4538,9169 . The biggest common factor number is the GCF number.
So the greatest common factor 4538,9169 is 1.

Lets's calculate LCM of 693,1244

Lowest Common Multiple of 693,1244 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 862092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/862092

Therefore, the GCF of Fractions 4538/693,9169/1244 is 1/862092

Least Common Multiple of 693,1244 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 693,1244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,1244) = 1

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

GCF(693,1244) x common factors =1 x 1 = 1

LCM(693,1244) = ( 693 × 1244 ) / 1

LCM(693,1244) = 862092 / 1

LCM(693,1244) = 862092

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FAQs on GCF of Fractions of 4538/693, 9169/1244

1. What is the HCF of 4538,9169?

The HCF of 4538,9169 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 4538/693, 9169/1244?

Answer: GCF of Numerators as per given numbers 4538/693, 9169/1244 is

GCF of Numerators i.e. for 4538,9169 is 1

LCM of denominators i.e. for 693,1244 is 862092.

Thus, GCF of Fractions is 1/862092.Finally, GCF of Fractions for 4538/693, 9169/1244 is 1/862092.