GCF of 1128/557, 9276/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1128/557, 9276/455 i.e 12/253435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1128/557, 9276/455.
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 1128/557,9276/455?
Given fractions are 1128/557,9276/455
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 1128/557,9276/455, numerators are 1128,9276
Denominators are 557,455
The GCF of 1128,9276 is 12 .
LCM of 557,455 is 253435.
The greatest common factor of 1128/557,9276/455 = [GCF of 1128,9276]/[LCM of 557,455]= 12/253435
Therefore, the GCF of 1128/557,9276/455 is 12/253435.
To find the highest common factor of 1128,9276, we have to find the factors of both numbers and list the highest common factor.
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276
The HCF of 1128,9276 is 12.
Lets's calculate GCF of 1128,9276
| 2 | 1128, 9276 |
| 2 | 564, 4638 |
| 3 | 282, 2319 |
| 94, 773 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1128,9276 By Matching Biggest Common Factor Method
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Now, list down the factors of 9276
:1,2,3,4,6,12,773,1546,2319,3092,4638,9276
Greatest Common Factor
We found the factors 1128,9276 . The biggest common factor number is the GCF number.
So the greatest common factor 1128,9276 is 12.
Lets's calculate LCM of 557,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 253435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/253435
Therefore, the GCF of Fractions 1128/557,9276/455 is 12/253435
Least Common Multiple of 557,455 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 557,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,455) x common factors =1 x 1 = 1
LCM(557,455) = ( 557 × 455 ) / 1
LCM(557,455) = 253435 / 1
LCM(557,455) = 253435
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FAQs on GCF of Fractions of 1128/557, 9276/455
1. What is the HCF of 1128,9276?
The HCF of 1128,9276 is 12
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 1128/557, 9276/455?
Answer: GCF of Numerators as per given numbers 1128/557, 9276/455 is
GCF of Numerators i.e. for 1128,9276 is 12
LCM of denominators i.e. for 557,455 is 253435.
Thus, GCF of Fractions is 12/253435.Finally, GCF of Fractions for 1128/557, 9276/455 is 12/253435.