GCF of 7034/189, 8678/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7034/189, 8678/960 i.e 2/60480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7034/189, 8678/960.
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 7034/189,8678/960?
Given fractions are 7034/189,8678/960
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 7034/189,8678/960, numerators are 7034,8678
Denominators are 189,960
The GCF of 7034,8678 is 2 .
LCM of 189,960 is 60480.
The greatest common factor of 7034/189,8678/960 = [GCF of 7034,8678]/[LCM of 189,960]= 2/60480
Therefore, the GCF of 7034/189,8678/960 is 2/60480.
To find the highest common factor of 7034,8678, we have to find the factors of both numbers and list the highest common factor.
The factors of 7034 are 1, 2, 3517, 7034
The factors of 8678 are 1, 2, 4339, 8678
The HCF of 7034,8678 is 2.
Lets's calculate GCF of 7034,8678
| 2 | 7034, 8678 |
| 3517, 4339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7034,8678 By Matching Biggest Common Factor Method
Now, list down the factors of 7034
:1,2,3517,7034
Now, list down the factors of 8678
:1,2,4339,8678
Greatest Common Factor
We found the factors 7034,8678 . The biggest common factor number is the GCF number.
So the greatest common factor 7034,8678 is 2.
Lets's calculate LCM of 189,960
| 3 | 189, 960 |
| 63, 320 |
∴ So the LCM of the given numbers is 3 x 63 x 320 = 60480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60480
Therefore, the GCF of Fractions 7034/189,8678/960 is 2/60480
Least Common Multiple of 189,960 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 189,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,960) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(189,960) x common factors =3 x 1 = 3
LCM(189,960) = ( 189 × 960 ) / 3
LCM(189,960) = 181440 / 3
LCM(189,960) = 60480
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FAQs on GCF of Fractions of 7034/189, 8678/960
1. What is the HCF of 7034,8678?
The HCF of 7034,8678 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 7034/189, 8678/960?
Answer: GCF of Numerators as per given numbers 7034/189, 8678/960 is
GCF of Numerators i.e. for 7034,8678 is 2
LCM of denominators i.e. for 189,960 is 60480.
Thus, GCF of Fractions is 2/60480.Finally, GCF of Fractions for 7034/189, 8678/960 is 2/60480.