GCF of 7720/722, 4327/6984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7720/722, 4327/6984 i.e 1/2521224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7720/722, 4327/6984.
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 7720/722,4327/6984?
Given fractions are 7720/722,4327/6984
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 7720/722,4327/6984, numerators are 7720,4327
Denominators are 722,6984
The GCF of 7720,4327 is 1 .
LCM of 722,6984 is 2521224.
The greatest common factor of 7720/722,4327/6984 = [GCF of 7720,4327]/[LCM of 722,6984]= 1/2521224
Therefore, the GCF of 7720/722,4327/6984 is 1/2521224.
To find the highest common factor of 7720,4327, we have to find the factors of both numbers and list the highest common factor.
The factors of 7720 are 1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720
The factors of 4327 are 1, 4327
The HCF of 7720,4327 is 1.
Lets's calculate GCF of 7720,4327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7720,4327 By Matching Biggest Common Factor Method
Now, list down the factors of 7720
:1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720
Now, list down the factors of 4327
:1,4327
Greatest Common Factor
We found the factors 7720,4327 . The biggest common factor number is the GCF number.
So the greatest common factor 7720,4327 is 1.
Lets's calculate LCM of 722,6984
| 2 | 722, 6984 |
| 361, 3492 |
∴ So the LCM of the given numbers is 2 x 361 x 3492 = 2521224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2521224
Therefore, the GCF of Fractions 7720/722,4327/6984 is 1/2521224
Least Common Multiple of 722,6984 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 722,6984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,6984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,6984) x common factors =2 x 1 = 2
LCM(722,6984) = ( 722 × 6984 ) / 2
LCM(722,6984) = 5042448 / 2
LCM(722,6984) = 2521224
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FAQs on GCF of Fractions of 7720/722, 4327/6984
1. What is the HCF of 7720,4327?
The HCF of 7720,4327 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 7720/722, 4327/6984?
Answer: GCF of Numerators as per given numbers 7720/722, 4327/6984 is
GCF of Numerators i.e. for 7720,4327 is 1
LCM of denominators i.e. for 722,6984 is 2521224.
Thus, GCF of Fractions is 1/2521224.Finally, GCF of Fractions for 7720/722, 4327/6984 is 1/2521224.