How to Find GCF of 1221/167, 4645/1120?

GCF of 1221/167, 4645/1120

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 1221/167, 4645/1120 i.e 1/187040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1221/167, 4645/1120.

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 1221/167,4645/1120?

Given fractions are 1221/167,4645/1120

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 1221/167,4645/1120, numerators are 1221,4645

Denominators are 167,1120

The GCF of 1221,4645 is 1 .

LCM of 167,1120 is 187040.

The greatest common factor of 1221/167,4645/1120 = [GCF of 1221,4645]/[LCM of 167,1120]= 1/187040

Therefore, the GCF of 1221/167,4645/1120 is 1/187040.

Greatest Common Factor of 1221,4645

To find the highest common factor of 1221,4645, we have to find the factors of both numbers and list the highest common factor.

The factors of 1221 are 1, 3, 11, 33, 37, 111, 407, 1221

The factors of 4645 are 1, 5, 929, 4645

The HCF of 1221,4645 is 1.

Lets's calculate GCF of 1221,4645

Greatest Common Factor (GCF) of 1221,4645 By Common Division

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

Greatest Common Factor of 1221,4645 By Matching Biggest Common Factor Method

Now, list down the factors of 1221

1,3,11,33,37,111,407,1221

Now, list down the factors of 4645

1,5,929,4645

Greatest Common Factor

We found the factors 1221,4645 . The biggest common factor number is the GCF number.
So the greatest common factor 1221,4645 is 1.

Lets's calculate LCM of 167,1120

Lowest Common Multiple of 167,1120 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 187040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187040

Therefore, the GCF of Fractions 1221/167,4645/1120 is 1/187040

Least Common Multiple of 167,1120 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 167,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,1120) = 1

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

GCF(167,1120) x common factors =1 x 1 = 1

LCM(167,1120) = ( 167 × 1120 ) / 1

LCM(167,1120) = 187040 / 1

LCM(167,1120) = 187040

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FAQs on GCF of Fractions of 1221/167, 4645/1120

1. What is the HCF of 1221,4645?

The HCF of 1221,4645 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 1221/167, 4645/1120?

Answer: GCF of Numerators as per given numbers 1221/167, 4645/1120 is

GCF of Numerators i.e. for 1221,4645 is 1

LCM of denominators i.e. for 167,1120 is 187040.

Thus, GCF of Fractions is 1/187040.Finally, GCF of Fractions for 1221/167, 4645/1120 is 1/187040.