GCF of 7702/135, 8478/6933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7702/135, 8478/6933 i.e 2/311985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7702/135, 8478/6933.
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 7702/135,8478/6933?
Given fractions are 7702/135,8478/6933
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 7702/135,8478/6933, numerators are 7702,8478
Denominators are 135,6933
The GCF of 7702,8478 is 2 .
LCM of 135,6933 is 311985.
The greatest common factor of 7702/135,8478/6933 = [GCF of 7702,8478]/[LCM of 135,6933]= 2/311985
Therefore, the GCF of 7702/135,8478/6933 is 2/311985.
To find the highest common factor of 7702,8478, we have to find the factors of both numbers and list the highest common factor.
The factors of 7702 are 1, 2, 3851, 7702
The factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
The HCF of 7702,8478 is 2.
Lets's calculate GCF of 7702,8478
| 2 | 7702, 8478 |
| 3851, 4239 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7702,8478 By Matching Biggest Common Factor Method
Now, list down the factors of 7702
:1,2,3851,7702
Now, list down the factors of 8478
:1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478
Greatest Common Factor
We found the factors 7702,8478 . The biggest common factor number is the GCF number.
So the greatest common factor 7702,8478 is 2.
Lets's calculate LCM of 135,6933
| 3 | 135, 6933 |
| 45, 2311 |
∴ So the LCM of the given numbers is 3 x 45 x 2311 = 311985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311985
Therefore, the GCF of Fractions 7702/135,8478/6933 is 2/311985
Least Common Multiple of 135,6933 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 135,6933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,6933) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(135,6933) x common factors =3 x 1 = 3
LCM(135,6933) = ( 135 × 6933 ) / 3
LCM(135,6933) = 935955 / 3
LCM(135,6933) = 311985
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FAQs on GCF of Fractions of 7702/135, 8478/6933
1. What is the HCF of 7702,8478?
The HCF of 7702,8478 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 7702/135, 8478/6933?
Answer: GCF of Numerators as per given numbers 7702/135, 8478/6933 is
GCF of Numerators i.e. for 7702,8478 is 2
LCM of denominators i.e. for 135,6933 is 311985.
Thus, GCF of Fractions is 2/311985.Finally, GCF of Fractions for 7702/135, 8478/6933 is 2/311985.