GCF of 9008/878, 1072/9522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9008/878, 1072/9522 i.e 16/4180158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9008/878, 1072/9522.
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 9008/878,1072/9522?
Given fractions are 9008/878,1072/9522
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 9008/878,1072/9522, numerators are 9008,1072
Denominators are 878,9522
The GCF of 9008,1072 is 16 .
LCM of 878,9522 is 4180158.
The greatest common factor of 9008/878,1072/9522 = [GCF of 9008,1072]/[LCM of 878,9522]= 16/4180158
Therefore, the GCF of 9008/878,1072/9522 is 16/4180158.
To find the highest common factor of 9008,1072, we have to find the factors of both numbers and list the highest common factor.
The factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008
The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072
The HCF of 9008,1072 is 16.
Lets's calculate GCF of 9008,1072
| 2 | 9008, 1072 |
| 2 | 4504, 536 |
| 2 | 2252, 268 |
| 2 | 1126, 134 |
| 563, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9008,1072 By Matching Biggest Common Factor Method
Now, list down the factors of 9008
:1,2,4,8,16,563,1126,2252,4504,9008
Now, list down the factors of 1072
:1,2,4,8,16,67,134,268,536,1072
Greatest Common Factor
We found the factors 9008,1072 . The biggest common factor number is the GCF number.
So the greatest common factor 9008,1072 is 16.
Lets's calculate LCM of 878,9522
| 2 | 878, 9522 |
| 439, 4761 |
∴ So the LCM of the given numbers is 2 x 439 x 4761 = 4180158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4180158
Therefore, the GCF of Fractions 9008/878,1072/9522 is 16/4180158
Least Common Multiple of 878,9522 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 878,9522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,9522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,9522) x common factors =2 x 1 = 2
LCM(878,9522) = ( 878 × 9522 ) / 2
LCM(878,9522) = 8360316 / 2
LCM(878,9522) = 4180158
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FAQs on GCF of Fractions of 9008/878, 1072/9522
1. What is the HCF of 9008,1072?
The HCF of 9008,1072 is 16
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 9008/878, 1072/9522?
Answer: GCF of Numerators as per given numbers 9008/878, 1072/9522 is
GCF of Numerators i.e. for 9008,1072 is 16
LCM of denominators i.e. for 878,9522 is 4180158.
Thus, GCF of Fractions is 16/4180158.Finally, GCF of Fractions for 9008/878, 1072/9522 is 16/4180158.