GCF of 1254/738, 7428/7727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1254/738, 7428/7727 i.e 6/5702526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1254/738, 7428/7727.
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 1254/738,7428/7727?
Given fractions are 1254/738,7428/7727
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 1254/738,7428/7727, numerators are 1254,7428
Denominators are 738,7727
The GCF of 1254,7428 is 6 .
LCM of 738,7727 is 5702526.
The greatest common factor of 1254/738,7428/7727 = [GCF of 1254,7428]/[LCM of 738,7727]= 6/5702526
Therefore, the GCF of 1254/738,7428/7727 is 6/5702526.
To find the highest common factor of 1254,7428, we have to find the factors of both numbers and list the highest common factor.
The factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
The factors of 7428 are 1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428
The HCF of 1254,7428 is 6.
Lets's calculate GCF of 1254,7428
| 2 | 1254, 7428 |
| 3 | 627, 3714 |
| 209, 1238 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1254,7428 By Matching Biggest Common Factor Method
Now, list down the factors of 1254
:1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254
Now, list down the factors of 7428
:1,2,3,4,6,12,619,1238,1857,2476,3714,7428
Greatest Common Factor
We found the factors 1254,7428 . The biggest common factor number is the GCF number.
So the greatest common factor 1254,7428 is 6.
Lets's calculate LCM of 738,7727
Given numbers has no common factors except 1. So, there LCM is their product i.e 5702526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5702526
Therefore, the GCF of Fractions 1254/738,7428/7727 is 6/5702526
Least Common Multiple of 738,7727 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 738,7727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,7727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,7727) x common factors =1 x 1 = 1
LCM(738,7727) = ( 738 × 7727 ) / 1
LCM(738,7727) = 5702526 / 1
LCM(738,7727) = 5702526
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FAQs on GCF of Fractions of 1254/738, 7428/7727
1. What is the HCF of 1254,7428?
The HCF of 1254,7428 is 6
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 1254/738, 7428/7727?
Answer: GCF of Numerators as per given numbers 1254/738, 7428/7727 is
GCF of Numerators i.e. for 1254,7428 is 6
LCM of denominators i.e. for 738,7727 is 5702526.
Thus, GCF of Fractions is 6/5702526.Finally, GCF of Fractions for 1254/738, 7428/7727 is 6/5702526.