GCF of 8666/346, 4951/460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8666/346, 4951/460 i.e 1/79580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8666/346, 4951/460.
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 8666/346,4951/460?
Given fractions are 8666/346,4951/460
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 8666/346,4951/460, numerators are 8666,4951
Denominators are 346,460
The GCF of 8666,4951 is 1 .
LCM of 346,460 is 79580.
The greatest common factor of 8666/346,4951/460 = [GCF of 8666,4951]/[LCM of 346,460]= 1/79580
Therefore, the GCF of 8666/346,4951/460 is 1/79580.
To find the highest common factor of 8666,4951, we have to find the factors of both numbers and list the highest common factor.
The factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666
The factors of 4951 are 1, 4951
The HCF of 8666,4951 is 1.
Lets's calculate GCF of 8666,4951
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8666,4951 By Matching Biggest Common Factor Method
Now, list down the factors of 8666
:1,2,7,14,619,1238,4333,8666
Now, list down the factors of 4951
:1,4951
Greatest Common Factor
We found the factors 8666,4951 . The biggest common factor number is the GCF number.
So the greatest common factor 8666,4951 is 1.
Lets's calculate LCM of 346,460
| 2 | 346, 460 |
| 173, 230 |
∴ So the LCM of the given numbers is 2 x 173 x 230 = 79580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79580
Therefore, the GCF of Fractions 8666/346,4951/460 is 1/79580
Least Common Multiple of 346,460 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 346,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,460) x common factors =2 x 1 = 2
LCM(346,460) = ( 346 × 460 ) / 2
LCM(346,460) = 159160 / 2
LCM(346,460) = 79580
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FAQs on GCF of Fractions of 8666/346, 4951/460
1. What is the HCF of 8666,4951?
The HCF of 8666,4951 is 1
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 8666/346, 4951/460?
Answer: GCF of Numerators as per given numbers 8666/346, 4951/460 is
GCF of Numerators i.e. for 8666,4951 is 1
LCM of denominators i.e. for 346,460 is 79580.
Thus, GCF of Fractions is 1/79580.Finally, GCF of Fractions for 8666/346, 4951/460 is 1/79580.