GCF of 7666/463, 7268/9510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7666/463, 7268/9510 i.e 2/4403130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7666/463, 7268/9510.
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 7666/463,7268/9510?
Given fractions are 7666/463,7268/9510
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 7666/463,7268/9510, numerators are 7666,7268
Denominators are 463,9510
The GCF of 7666,7268 is 2 .
LCM of 463,9510 is 4403130.
The greatest common factor of 7666/463,7268/9510 = [GCF of 7666,7268]/[LCM of 463,9510]= 2/4403130
Therefore, the GCF of 7666/463,7268/9510 is 2/4403130.
To find the highest common factor of 7666,7268, we have to find the factors of both numbers and list the highest common factor.
The factors of 7666 are 1, 2, 3833, 7666
The factors of 7268 are 1, 2, 4, 23, 46, 79, 92, 158, 316, 1817, 3634, 7268
The HCF of 7666,7268 is 2.
Lets's calculate GCF of 7666,7268
| 2 | 7666, 7268 |
| 3833, 3634 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7666,7268 By Matching Biggest Common Factor Method
Now, list down the factors of 7666
:1,2,3833,7666
Now, list down the factors of 7268
:1,2,4,23,46,79,92,158,316,1817,3634,7268
Greatest Common Factor
We found the factors 7666,7268 . The biggest common factor number is the GCF number.
So the greatest common factor 7666,7268 is 2.
Lets's calculate LCM of 463,9510
Given numbers has no common factors except 1. So, there LCM is their product i.e 4403130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4403130
Therefore, the GCF of Fractions 7666/463,7268/9510 is 2/4403130
Least Common Multiple of 463,9510 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 463,9510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,9510) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,9510) x common factors =1 x 1 = 1
LCM(463,9510) = ( 463 × 9510 ) / 1
LCM(463,9510) = 4403130 / 1
LCM(463,9510) = 4403130
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FAQs on GCF of Fractions of 7666/463, 7268/9510
1. What is the HCF of 7666,7268?
The HCF of 7666,7268 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 7666/463, 7268/9510?
Answer: GCF of Numerators as per given numbers 7666/463, 7268/9510 is
GCF of Numerators i.e. for 7666,7268 is 2
LCM of denominators i.e. for 463,9510 is 4403130.
Thus, GCF of Fractions is 2/4403130.Finally, GCF of Fractions for 7666/463, 7268/9510 is 2/4403130.