How to Find GCF of 9223/662, 4624/6037?

GCF of 9223/662, 4624/6037

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 9223/662, 4624/6037 i.e 1/3996494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9223/662, 4624/6037.

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 9223/662,4624/6037?

Given fractions are 9223/662,4624/6037

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 9223/662,4624/6037, numerators are 9223,4624

Denominators are 662,6037

The GCF of 9223,4624 is 1 .

LCM of 662,6037 is 3996494.

The greatest common factor of 9223/662,4624/6037 = [GCF of 9223,4624]/[LCM of 662,6037]= 1/3996494

Therefore, the GCF of 9223/662,4624/6037 is 1/3996494.

Greatest Common Factor of 9223,4624

To find the highest common factor of 9223,4624, we have to find the factors of both numbers and list the highest common factor.

The factors of 9223 are 1, 23, 401, 9223

The factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624

The HCF of 9223,4624 is 1.

Lets's calculate GCF of 9223,4624

Greatest Common Factor (GCF) of 9223,4624 By Common Division

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

Greatest Common Factor of 9223,4624 By Matching Biggest Common Factor Method

Now, list down the factors of 9223

1,23,401,9223

Now, list down the factors of 4624

1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624

Greatest Common Factor

We found the factors 9223,4624 . The biggest common factor number is the GCF number.
So the greatest common factor 9223,4624 is 1.

Lets's calculate LCM of 662,6037

Lowest Common Multiple of 662,6037 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3996494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3996494

Therefore, the GCF of Fractions 9223/662,4624/6037 is 1/3996494

Least Common Multiple of 662,6037 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 662,6037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,6037) = 1

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

GCF(662,6037) x common factors =1 x 1 = 1

LCM(662,6037) = ( 662 × 6037 ) / 1

LCM(662,6037) = 3996494 / 1

LCM(662,6037) = 3996494

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FAQs on GCF of Fractions of 9223/662, 4624/6037

1. What is the HCF of 9223,4624?

The HCF of 9223,4624 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 9223/662, 4624/6037?

Answer: GCF of Numerators as per given numbers 9223/662, 4624/6037 is

GCF of Numerators i.e. for 9223,4624 is 1

LCM of denominators i.e. for 662,6037 is 3996494.

Thus, GCF of Fractions is 1/3996494.Finally, GCF of Fractions for 9223/662, 4624/6037 is 1/3996494.