GCF of 7973/270, 8153/6724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7973/270, 8153/6724 i.e 1/907740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7973/270, 8153/6724.
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 7973/270,8153/6724?
Given fractions are 7973/270,8153/6724
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 7973/270,8153/6724, numerators are 7973,8153
Denominators are 270,6724
The GCF of 7973,8153 is 1 .
LCM of 270,6724 is 907740.
The greatest common factor of 7973/270,8153/6724 = [GCF of 7973,8153]/[LCM of 270,6724]= 1/907740
Therefore, the GCF of 7973/270,8153/6724 is 1/907740.
To find the highest common factor of 7973,8153, 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 8153 are 1, 31, 263, 8153
The HCF of 7973,8153 is 1.
Lets's calculate GCF of 7973,8153
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7973,8153 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 8153
:1,31,263,8153
Greatest Common Factor
We found the factors 7973,8153 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,8153 is 1.
Lets's calculate LCM of 270,6724
| 2 | 270, 6724 |
| 135, 3362 |
∴ So the LCM of the given numbers is 2 x 135 x 3362 = 907740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/907740
Therefore, the GCF of Fractions 7973/270,8153/6724 is 1/907740
Least Common Multiple of 270,6724 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 270,6724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,6724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,6724) x common factors =2 x 1 = 2
LCM(270,6724) = ( 270 × 6724 ) / 2
LCM(270,6724) = 1815480 / 2
LCM(270,6724) = 907740
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FAQs on GCF of Fractions of 7973/270, 8153/6724
1. What is the HCF of 7973,8153?
The HCF of 7973,8153 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 7973/270, 8153/6724?
Answer: GCF of Numerators as per given numbers 7973/270, 8153/6724 is
GCF of Numerators i.e. for 7973,8153 is 1
LCM of denominators i.e. for 270,6724 is 907740.
Thus, GCF of Fractions is 1/907740.Finally, GCF of Fractions for 7973/270, 8153/6724 is 1/907740.