GCF of 99/722, 7662/6955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/722, 7662/6955 i.e 3/5021510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/722, 7662/6955.
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 99/722,7662/6955?
Given fractions are 99/722,7662/6955
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 99/722,7662/6955, numerators are 99,7662
Denominators are 722,6955
The GCF of 99,7662 is 3 .
LCM of 722,6955 is 5021510.
The greatest common factor of 99/722,7662/6955 = [GCF of 99,7662]/[LCM of 722,6955]= 3/5021510
Therefore, the GCF of 99/722,7662/6955 is 3/5021510.
To find the highest common factor of 99,7662, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 7662 are 1, 2, 3, 6, 1277, 2554, 3831, 7662
The HCF of 99,7662 is 3.
Lets's calculate GCF of 99,7662
| 3 | 99, 7662 |
| 33, 2554 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 99,7662 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 7662
:1,2,3,6,1277,2554,3831,7662
Greatest Common Factor
We found the factors 99,7662 . The biggest common factor number is the GCF number.
So the greatest common factor 99,7662 is 3.
Lets's calculate LCM of 722,6955
Given numbers has no common factors except 1. So, there LCM is their product i.e 5021510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5021510
Therefore, the GCF of Fractions 99/722,7662/6955 is 3/5021510
Least Common Multiple of 722,6955 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 722,6955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,6955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,6955) x common factors =1 x 1 = 1
LCM(722,6955) = ( 722 × 6955 ) / 1
LCM(722,6955) = 5021510 / 1
LCM(722,6955) = 5021510
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FAQs on GCF of Fractions of 99/722, 7662/6955
1. What is the HCF of 99,7662?
The HCF of 99,7662 is 3
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 99/722, 7662/6955?
Answer: GCF of Numerators as per given numbers 99/722, 7662/6955 is
GCF of Numerators i.e. for 99,7662 is 3
LCM of denominators i.e. for 722,6955 is 5021510.
Thus, GCF of Fractions is 3/5021510.Finally, GCF of Fractions for 99/722, 7662/6955 is 3/5021510.