GCF of 7873/681, 9921/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7873/681, 9921/708 i.e 1/160716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7873/681, 9921/708.
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 7873/681,9921/708?
Given fractions are 7873/681,9921/708
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 7873/681,9921/708, numerators are 7873,9921
Denominators are 681,708
The GCF of 7873,9921 is 1 .
LCM of 681,708 is 160716.
The greatest common factor of 7873/681,9921/708 = [GCF of 7873,9921]/[LCM of 681,708]= 1/160716
Therefore, the GCF of 7873/681,9921/708 is 1/160716.
To find the highest common factor of 7873,9921, we have to find the factors of both numbers and list the highest common factor.
The factors of 7873 are 1, 7873
The factors of 9921 are 1, 3, 3307, 9921
The HCF of 7873,9921 is 1.
Lets's calculate GCF of 7873,9921
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7873,9921 By Matching Biggest Common Factor Method
Now, list down the factors of 7873
:1,7873
Now, list down the factors of 9921
:1,3,3307,9921
Greatest Common Factor
We found the factors 7873,9921 . The biggest common factor number is the GCF number.
So the greatest common factor 7873,9921 is 1.
Lets's calculate LCM of 681,708
| 3 | 681, 708 |
| 227, 236 |
∴ So the LCM of the given numbers is 3 x 227 x 236 = 160716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160716
Therefore, the GCF of Fractions 7873/681,9921/708 is 1/160716
Least Common Multiple of 681,708 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 681,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,708) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(681,708) x common factors =3 x 1 = 3
LCM(681,708) = ( 681 × 708 ) / 3
LCM(681,708) = 482148 / 3
LCM(681,708) = 160716
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FAQs on GCF of Fractions of 7873/681, 9921/708
1. What is the HCF of 7873,9921?
The HCF of 7873,9921 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 7873/681, 9921/708?
Answer: GCF of Numerators as per given numbers 7873/681, 9921/708 is
GCF of Numerators i.e. for 7873,9921 is 1
LCM of denominators i.e. for 681,708 is 160716.
Thus, GCF of Fractions is 1/160716.Finally, GCF of Fractions for 7873/681, 9921/708 is 1/160716.