How to Find GCF of 1214/939, 9119/1118?

GCF of 1214/939, 9119/1118

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 1214/939, 9119/1118 i.e 1/1049802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1214/939, 9119/1118.

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 1214/939,9119/1118?

Given fractions are 1214/939,9119/1118

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 1214/939,9119/1118, numerators are 1214,9119

Denominators are 939,1118

The GCF of 1214,9119 is 1 .

LCM of 939,1118 is 1049802.

The greatest common factor of 1214/939,9119/1118 = [GCF of 1214,9119]/[LCM of 939,1118]= 1/1049802

Therefore, the GCF of 1214/939,9119/1118 is 1/1049802.

Greatest Common Factor of 1214,9119

To find the highest common factor of 1214,9119, we have to find the factors of both numbers and list the highest common factor.

The factors of 1214 are 1, 2, 607, 1214

The factors of 9119 are 1, 11, 829, 9119

The HCF of 1214,9119 is 1.

Lets's calculate GCF of 1214,9119

Greatest Common Factor (GCF) of 1214,9119 By Common Division

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

Greatest Common Factor of 1214,9119 By Matching Biggest Common Factor Method

Now, list down the factors of 1214

1,2,607,1214

Now, list down the factors of 9119

1,11,829,9119

Greatest Common Factor

We found the factors 1214,9119 . The biggest common factor number is the GCF number.
So the greatest common factor 1214,9119 is 1.

Lets's calculate LCM of 939,1118

Lowest Common Multiple of 939,1118 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1049802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1049802

Therefore, the GCF of Fractions 1214/939,9119/1118 is 1/1049802

Least Common Multiple of 939,1118 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 939,1118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,1118) = 1

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

GCF(939,1118) x common factors =1 x 1 = 1

LCM(939,1118) = ( 939 × 1118 ) / 1

LCM(939,1118) = 1049802 / 1

LCM(939,1118) = 1049802

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FAQs on GCF of Fractions of 1214/939, 9119/1118

1. What is the HCF of 1214,9119?

The HCF of 1214,9119 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 1214/939, 9119/1118?

Answer: GCF of Numerators as per given numbers 1214/939, 9119/1118 is

GCF of Numerators i.e. for 1214,9119 is 1

LCM of denominators i.e. for 939,1118 is 1049802.

Thus, GCF of Fractions is 1/1049802.Finally, GCF of Fractions for 1214/939, 9119/1118 is 1/1049802.