How to Find GCF of 22/122, 765/923, 732/109?

GCF of 22/122, 765/923, 732/109

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 22/122, 765/923, 732/109 i.e 1/12274054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/122, 765/923, 732/109.

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 22/122,765/923,732/109?

Given fractions are 22/122,765/923,732/109

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 22/122,765/923,732/109, numerators are 22,765,732

Denominators are 122,923,109

The GCF of 22,765,732 is 1 .

LCM of 122,923,109 is 12274054.

The greatest common factor of 22/122,765/923,732/109 = [GCF of 22,765,732]/[LCM of 122,923,109]= 1/12274054

Therefore, the GCF of 22/122,765/923,732/109 is 1/12274054.

Greatest Common Factor of 22,765,732

To find the highest common factor of 22,765,732, we have to find the factors of both numbers and list the highest common factor.

The factors of 22 are 1, 2, 11, 22

The factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The HCF of 22,765,732 is 1.

Lets's calculate GCF of 22,765,732

Greatest Common Factor (GCF) of 22,765,732 By Common Division

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

Greatest Common Factor of 22,765,732 By Matching Biggest Common Factor Method

Now, list down the factors of 22

1,2,11,22

Now, list down the factors of 765

1,3,5,9,15,17,45,51,85,153,255,765

Now, list down the factors of 732

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 22,765,732 . The biggest common factor number is the GCF number.
So the greatest common factor 22,765,732 is 1.

Lets's calculate LCM of 122,923,109

Lowest Common Multiple of 122,923,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 12274054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12274054

Therefore, the GCF of Fractions 22/122,765/923,732/109 is 1/12274054

Least Common Multiple of 122,923,109 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 122,923,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,923,109) = 1

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

GCF(122,923,109) x common factors =1 x 1 = 1

LCM(122,923,109) = ( 122 × 923 × 109 ) / 1

LCM(122,923,109) = 12274054 / 1

LCM(122,923,109) = 12274054

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 22/122, 765/923, 732/109

1. What is the HCF of 22,765,732?

The HCF of 22,765,732 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 22/122, 765/923, 732/109?

Answer: GCF of Numerators as per given numbers 22/122, 765/923, 732/109 is

GCF of Numerators i.e. for 22,765,732 is 1

LCM of denominators i.e. for 122,923,109 is 12274054.

Thus, GCF of Fractions is 1/12274054.Finally, GCF of Fractions for 22/122, 765/923, 732/109 is 1/12274054.