GCF of 8139/894, 3124/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8139/894, 3124/9782 i.e 1/4372554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8139/894, 3124/9782.
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 8139/894,3124/9782?
Given fractions are 8139/894,3124/9782
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 8139/894,3124/9782, numerators are 8139,3124
Denominators are 894,9782
The GCF of 8139,3124 is 1 .
LCM of 894,9782 is 4372554.
The greatest common factor of 8139/894,3124/9782 = [GCF of 8139,3124]/[LCM of 894,9782]= 1/4372554
Therefore, the GCF of 8139/894,3124/9782 is 1/4372554.
To find the highest common factor of 8139,3124, we have to find the factors of both numbers and list the highest common factor.
The factors of 8139 are 1, 3, 2713, 8139
The factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124
The HCF of 8139,3124 is 1.
Lets's calculate GCF of 8139,3124
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8139,3124 By Matching Biggest Common Factor Method
Now, list down the factors of 8139
:1,3,2713,8139
Now, list down the factors of 3124
:1,2,4,11,22,44,71,142,284,781,1562,3124
Greatest Common Factor
We found the factors 8139,3124 . The biggest common factor number is the GCF number.
So the greatest common factor 8139,3124 is 1.
Lets's calculate LCM of 894,9782
| 2 | 894, 9782 |
| 447, 4891 |
∴ So the LCM of the given numbers is 2 x 447 x 4891 = 4372554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4372554
Therefore, the GCF of Fractions 8139/894,3124/9782 is 1/4372554
Least Common Multiple of 894,9782 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 894,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,9782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,9782) x common factors =2 x 1 = 2
LCM(894,9782) = ( 894 × 9782 ) / 2
LCM(894,9782) = 8745108 / 2
LCM(894,9782) = 4372554
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FAQs on GCF of Fractions of 8139/894, 3124/9782
1. What is the HCF of 8139,3124?
The HCF of 8139,3124 is 1
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 8139/894, 3124/9782?
Answer: GCF of Numerators as per given numbers 8139/894, 3124/9782 is
GCF of Numerators i.e. for 8139,3124 is 1
LCM of denominators i.e. for 894,9782 is 4372554.
Thus, GCF of Fractions is 1/4372554.Finally, GCF of Fractions for 8139/894, 3124/9782 is 1/4372554.