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GCF of 92/19, 732/27, 778/129

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 92/19, 732/27, 778/129 i.e 2/22059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/19, 732/27, 778/129.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 92/19,732/27,778/129?

Given fractions are 92/19,732/27,778/129

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 92/19,732/27,778/129, numerators are 92,732,778

Denominators are 19,27,129

The GCF of 92,732,778 is 2 .

LCM of 19,27,129 is 22059.

The greatest common factor of 92/19,732/27,778/129 = [GCF of 92,732,778]/[LCM of 19,27,129]= 2/22059

Therefore, the GCF of 92/19,732/27,778/129 is 2/22059.

Greatest Common Factor of 92,732,778

To find the highest common factor of 92,732,778, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

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

The factors of 778 are 1, 2, 389, 778

The HCF of 92,732,778 is 2.

Lets's calculate GCF of 92,732,778

Greatest Common Factor (GCF) of 92,732,778 By Common Division

2 92, 732, 778
46, 366, 389

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 92,732,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,732,778 By Matching Biggest Common Factor Method

Now, list down the factors of 92

:

1,2,4,23,46,92

Now, list down the factors of 732

:

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

Now, list down the factors of 778

:

1,2,389,778

Greatest Common Factor

We found the factors 92,732,778 . The biggest common factor number is the GCF number.
So the greatest common factor 92,732,778 is 2.


Lets's calculate LCM of 19,27,129

Lowest Common Multiple of 19,27,129 using Common Division

3 19, 27, 129
19, 9, 43

∴ So the LCM of the given numbers is 3 x 19 x 9 x 43 = 22059

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22059

Therefore, the GCF of Fractions 92/19,732/27,778/129 is 2/22059

Least Common Multiple of 19,27,129 with GCF Formula

Least Common Multiple of 19,27,129 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 19,27,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,27,129) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,27,129) x common factors =1 x 3 = 3

LCM(19,27,129) = ( 19 × 27 × 129 ) / 3

LCM(19,27,129) = 66177 / 3

LCM(19,27,129) = 22059


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 92/19, 732/27, 778/129

1. What is the HCF of 92,732,778?

The HCF of 92,732,778 is 2

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 92/19, 732/27, 778/129?

Answer: GCF of Numerators as per given numbers 92/19, 732/27, 778/129 is

GCF of Numerators i.e. for 92,732,778 is 2

LCM of denominators i.e. for 19,27,129 is 22059.

Thus, GCF of Fractions is 2/22059.Finally, GCF of Fractions for 92/19, 732/27, 778/129 is 2/22059.