GCF of 7973/105, 5106/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7973/105, 5106/870 i.e 1/6090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7973/105, 5106/870.
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 7973/105,5106/870?
Given fractions are 7973/105,5106/870
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 7973/105,5106/870, numerators are 7973,5106
Denominators are 105,870
The GCF of 7973,5106 is 1 .
LCM of 105,870 is 6090.
The greatest common factor of 7973/105,5106/870 = [GCF of 7973,5106]/[LCM of 105,870]= 1/6090
Therefore, the GCF of 7973/105,5106/870 is 1/6090.
To find the highest common factor of 7973,5106, we have to find the factors of both numbers and list the highest common factor.
The factors of 7973 are 1, 7, 17, 67, 119, 469, 1139, 7973
The factors of 5106 are 1, 2, 3, 6, 23, 37, 46, 69, 74, 111, 138, 222, 851, 1702, 2553, 5106
The HCF of 7973,5106 is 1.
Lets's calculate GCF of 7973,5106
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7973,5106 By Matching Biggest Common Factor Method
Now, list down the factors of 7973
:1,7,17,67,119,469,1139,7973
Now, list down the factors of 5106
:1,2,3,6,23,37,46,69,74,111,138,222,851,1702,2553,5106
Greatest Common Factor
We found the factors 7973,5106 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,5106 is 1.
Lets's calculate LCM of 105,870
| 3 | 105, 870 |
| 5 | 35, 290 |
| 7, 58 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 58 = 6090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6090
Therefore, the GCF of Fractions 7973/105,5106/870 is 1/6090
Least Common Multiple of 105,870 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 105,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,870) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(105,870) x common factors =15 x 1 = 15
LCM(105,870) = ( 105 × 870 ) / 15
LCM(105,870) = 91350 / 15
LCM(105,870) = 6090
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FAQs on GCF of Fractions of 7973/105, 5106/870
1. What is the HCF of 7973,5106?
The HCF of 7973,5106 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 7973/105, 5106/870?
Answer: GCF of Numerators as per given numbers 7973/105, 5106/870 is
GCF of Numerators i.e. for 7973,5106 is 1
LCM of denominators i.e. for 105,870 is 6090.
Thus, GCF of Fractions is 1/6090.Finally, GCF of Fractions for 7973/105, 5106/870 is 1/6090.