GCF of 912/896, 9052/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 912/896, 9052/282 i.e 4/126336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/896, 9052/282.
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 912/896,9052/282?
Given fractions are 912/896,9052/282
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 912/896,9052/282, numerators are 912,9052
Denominators are 896,282
The GCF of 912,9052 is 4 .
LCM of 896,282 is 126336.
The greatest common factor of 912/896,9052/282 = [GCF of 912,9052]/[LCM of 896,282]= 4/126336
Therefore, the GCF of 912/896,9052/282 is 4/126336.
To find the highest common factor of 912,9052, we have to find the factors of both numbers and list the highest common factor.
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The factors of 9052 are 1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526, 9052
The HCF of 912,9052 is 4.
Lets's calculate GCF of 912,9052
| 2 | 912, 9052 |
| 2 | 456, 4526 |
| 228, 2263 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 912,9052 By Matching Biggest Common Factor Method
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Now, list down the factors of 9052
:1,2,4,31,62,73,124,146,292,2263,4526,9052
Greatest Common Factor
We found the factors 912,9052 . The biggest common factor number is the GCF number.
So the greatest common factor 912,9052 is 4.
Lets's calculate LCM of 896,282
| 2 | 896, 282 |
| 448, 141 |
∴ So the LCM of the given numbers is 2 x 448 x 141 = 126336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/126336
Therefore, the GCF of Fractions 912/896,9052/282 is 4/126336
Least Common Multiple of 896,282 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 896,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(896,282) x common factors =2 x 1 = 2
LCM(896,282) = ( 896 × 282 ) / 2
LCM(896,282) = 252672 / 2
LCM(896,282) = 126336
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FAQs on GCF of Fractions of 912/896, 9052/282
1. What is the HCF of 912,9052?
The HCF of 912,9052 is 4
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 912/896, 9052/282?
Answer: GCF of Numerators as per given numbers 912/896, 9052/282 is
GCF of Numerators i.e. for 912,9052 is 4
LCM of denominators i.e. for 896,282 is 126336.
Thus, GCF of Fractions is 4/126336.Finally, GCF of Fractions for 912/896, 9052/282 is 4/126336.