GCF of 1159/462, 9028/5467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1159/462, 9028/5467 i.e 61/32802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1159/462, 9028/5467.
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 1159/462,9028/5467?
Given fractions are 1159/462,9028/5467
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 1159/462,9028/5467, numerators are 1159,9028
Denominators are 462,5467
The GCF of 1159,9028 is 61 .
LCM of 462,5467 is 32802.
The greatest common factor of 1159/462,9028/5467 = [GCF of 1159,9028]/[LCM of 462,5467]= 61/32802
Therefore, the GCF of 1159/462,9028/5467 is 61/32802.
To find the highest common factor of 1159,9028, we have to find the factors of both numbers and list the highest common factor.
The factors of 1159 are 1, 19, 61, 1159
The factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028
The HCF of 1159,9028 is 61.
Lets's calculate GCF of 1159,9028
| 61 | 1159, 9028 |
| 19, 148 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 1159,9028 By Matching Biggest Common Factor Method
Now, list down the factors of 1159
:1,19,61,1159
Now, list down the factors of 9028
:1,2,4,37,61,74,122,148,244,2257,4514,9028
Greatest Common Factor
We found the factors 1159,9028 . The biggest common factor number is the GCF number.
So the greatest common factor 1159,9028 is 61.
Lets's calculate LCM of 462,5467
| 7 | 462, 5467 |
| 11 | 66, 781 |
| 6, 71 |
∴ So the LCM of the given numbers is 7 x 11 x 6 x 71 = 32802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/32802
Therefore, the GCF of Fractions 1159/462,9028/5467 is 61/32802
Least Common Multiple of 462,5467 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 462,5467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,5467) = 77
common factors(in case of two or more numbers have common factors) = 1
GCF(462,5467) x common factors =77 x 1 = 77
LCM(462,5467) = ( 462 × 5467 ) / 77
LCM(462,5467) = 2525754 / 77
LCM(462,5467) = 32802
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FAQs on GCF of Fractions of 1159/462, 9028/5467
1. What is the HCF of 1159,9028?
The HCF of 1159,9028 is 61
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 1159/462, 9028/5467?
Answer: GCF of Numerators as per given numbers 1159/462, 9028/5467 is
GCF of Numerators i.e. for 1159,9028 is 61
LCM of denominators i.e. for 462,5467 is 32802.
Thus, GCF of Fractions is 61/32802.Finally, GCF of Fractions for 1159/462, 9028/5467 is 61/32802.