GCF of 8931/851, 1608/1142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8931/851, 1608/1142 i.e 3/971842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8931/851, 1608/1142.
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 8931/851,1608/1142?
Given fractions are 8931/851,1608/1142
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 8931/851,1608/1142, numerators are 8931,1608
Denominators are 851,1142
The GCF of 8931,1608 is 3 .
LCM of 851,1142 is 971842.
The greatest common factor of 8931/851,1608/1142 = [GCF of 8931,1608]/[LCM of 851,1142]= 3/971842
Therefore, the GCF of 8931/851,1608/1142 is 3/971842.
To find the highest common factor of 8931,1608, we have to find the factors of both numbers and list the highest common factor.
The factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931
The factors of 1608 are 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608
The HCF of 8931,1608 is 3.
Lets's calculate GCF of 8931,1608
| 3 | 8931, 1608 |
| 2977, 536 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8931,1608 By Matching Biggest Common Factor Method
Now, list down the factors of 8931
:1,3,13,39,229,687,2977,8931
Now, list down the factors of 1608
:1,2,3,4,6,8,12,24,67,134,201,268,402,536,804,1608
Greatest Common Factor
We found the factors 8931,1608 . The biggest common factor number is the GCF number.
So the greatest common factor 8931,1608 is 3.
Lets's calculate LCM of 851,1142
Given numbers has no common factors except 1. So, there LCM is their product i.e 971842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/971842
Therefore, the GCF of Fractions 8931/851,1608/1142 is 3/971842
Least Common Multiple of 851,1142 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 851,1142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,1142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,1142) x common factors =1 x 1 = 1
LCM(851,1142) = ( 851 × 1142 ) / 1
LCM(851,1142) = 971842 / 1
LCM(851,1142) = 971842
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FAQs on GCF of Fractions of 8931/851, 1608/1142
1. What is the HCF of 8931,1608?
The HCF of 8931,1608 is 3
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 8931/851, 1608/1142?
Answer: GCF of Numerators as per given numbers 8931/851, 1608/1142 is
GCF of Numerators i.e. for 8931,1608 is 3
LCM of denominators i.e. for 851,1142 is 971842.
Thus, GCF of Fractions is 3/971842.Finally, GCF of Fractions for 8931/851, 1608/1142 is 3/971842.