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GCF of 5446/774, 3473/6192

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 5446/774, 3473/6192 i.e 1/6192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5446/774, 3473/6192.

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 5446/774,3473/6192?

Given fractions are 5446/774,3473/6192

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 5446/774,3473/6192, numerators are 5446,3473

Denominators are 774,6192

The GCF of 5446,3473 is 1 .

LCM of 774,6192 is 6192.

The greatest common factor of 5446/774,3473/6192 = [GCF of 5446,3473]/[LCM of 774,6192]= 1/6192

Therefore, the GCF of 5446/774,3473/6192 is 1/6192.

Greatest Common Factor of 5446,3473

To find the highest common factor of 5446,3473, we have to find the factors of both numbers and list the highest common factor.

The factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446

The factors of 3473 are 1, 23, 151, 3473

The HCF of 5446,3473 is 1.

Lets's calculate GCF of 5446,3473

Greatest Common Factor (GCF) of 5446,3473 By Common Division

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

Greatest Common Factor of 5446,3473 By Matching Biggest Common Factor Method

Greatest Common Factor of 5446,3473 By Matching Biggest Common Factor Method

Now, list down the factors of 5446

:

1,2,7,14,389,778,2723,5446

Now, list down the factors of 3473

:

1,23,151,3473

Greatest Common Factor

We found the factors 5446,3473 . The biggest common factor number is the GCF number.
So the greatest common factor 5446,3473 is 1.


Lets's calculate LCM of 774,6192

Lowest Common Multiple of 774,6192 using Common Division

2 774, 6192
3 387, 3096
3 129, 1032
43 43, 344
1, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 1 x 8 = 6192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6192

Therefore, the GCF of Fractions 5446/774,3473/6192 is 1/6192

Least Common Multiple of 774,6192 with GCF Formula

Least Common Multiple of 774,6192 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 774,6192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,6192) = 774

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

GCF(774,6192) x common factors =774 x 1 = 774

LCM(774,6192) = ( 774 × 6192 ) / 774

LCM(774,6192) = 4792608 / 774

LCM(774,6192) = 6192


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5446/774, 3473/6192

1. What is the HCF of 5446,3473?

The HCF of 5446,3473 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 5446/774, 3473/6192?

Answer: GCF of Numerators as per given numbers 5446/774, 3473/6192 is

GCF of Numerators i.e. for 5446,3473 is 1

LCM of denominators i.e. for 774,6192 is 6192.

Thus, GCF of Fractions is 1/6192.Finally, GCF of Fractions for 5446/774, 3473/6192 is 1/6192.