GCF of 7976/711, 5662/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7976/711, 5662/216 i.e 2/17064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7976/711, 5662/216.
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 7976/711,5662/216?
Given fractions are 7976/711,5662/216
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 7976/711,5662/216, numerators are 7976,5662
Denominators are 711,216
The GCF of 7976,5662 is 2 .
LCM of 711,216 is 17064.
The greatest common factor of 7976/711,5662/216 = [GCF of 7976,5662]/[LCM of 711,216]= 2/17064
Therefore, the GCF of 7976/711,5662/216 is 2/17064.
To find the highest common factor of 7976,5662, we have to find the factors of both numbers and list the highest common factor.
The factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976
The factors of 5662 are 1, 2, 19, 38, 149, 298, 2831, 5662
The HCF of 7976,5662 is 2.
Lets's calculate GCF of 7976,5662
| 2 | 7976, 5662 |
| 3988, 2831 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7976,5662 By Matching Biggest Common Factor Method
Now, list down the factors of 7976
:1,2,4,8,997,1994,3988,7976
Now, list down the factors of 5662
:1,2,19,38,149,298,2831,5662
Greatest Common Factor
We found the factors 7976,5662 . The biggest common factor number is the GCF number.
So the greatest common factor 7976,5662 is 2.
Lets's calculate LCM of 711,216
| 3 | 711, 216 |
| 3 | 237, 72 |
| 79, 24 |
∴ So the LCM of the given numbers is 3 x 3 x 79 x 24 = 17064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17064
Therefore, the GCF of Fractions 7976/711,5662/216 is 2/17064
Least Common Multiple of 711,216 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 711,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,216) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(711,216) x common factors =9 x 1 = 9
LCM(711,216) = ( 711 × 216 ) / 9
LCM(711,216) = 153576 / 9
LCM(711,216) = 17064
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FAQs on GCF of Fractions of 7976/711, 5662/216
1. What is the HCF of 7976,5662?
The HCF of 7976,5662 is 2
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 7976/711, 5662/216?
Answer: GCF of Numerators as per given numbers 7976/711, 5662/216 is
GCF of Numerators i.e. for 7976,5662 is 2
LCM of denominators i.e. for 711,216 is 17064.
Thus, GCF of Fractions is 2/17064.Finally, GCF of Fractions for 7976/711, 5662/216 is 2/17064.