GCF of 8518/748, 4207/5206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8518/748, 4207/5206 i.e 1/1947044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8518/748, 4207/5206.
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 8518/748,4207/5206?
Given fractions are 8518/748,4207/5206
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 8518/748,4207/5206, numerators are 8518,4207
Denominators are 748,5206
The GCF of 8518,4207 is 1 .
LCM of 748,5206 is 1947044.
The greatest common factor of 8518/748,4207/5206 = [GCF of 8518,4207]/[LCM of 748,5206]= 1/1947044
Therefore, the GCF of 8518/748,4207/5206 is 1/1947044.
To find the highest common factor of 8518,4207, we have to find the factors of both numbers and list the highest common factor.
The factors of 8518 are 1, 2, 4259, 8518
The factors of 4207 are 1, 7, 601, 4207
The HCF of 8518,4207 is 1.
Lets's calculate GCF of 8518,4207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8518,4207 By Matching Biggest Common Factor Method
Now, list down the factors of 8518
:1,2,4259,8518
Now, list down the factors of 4207
:1,7,601,4207
Greatest Common Factor
We found the factors 8518,4207 . The biggest common factor number is the GCF number.
So the greatest common factor 8518,4207 is 1.
Lets's calculate LCM of 748,5206
| 2 | 748, 5206 |
| 374, 2603 |
∴ So the LCM of the given numbers is 2 x 374 x 2603 = 1947044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1947044
Therefore, the GCF of Fractions 8518/748,4207/5206 is 1/1947044
Least Common Multiple of 748,5206 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 748,5206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,5206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(748,5206) x common factors =2 x 1 = 2
LCM(748,5206) = ( 748 × 5206 ) / 2
LCM(748,5206) = 3894088 / 2
LCM(748,5206) = 1947044
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8518/748, 4207/5206
1. What is the HCF of 8518,4207?
The HCF of 8518,4207 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 8518/748, 4207/5206?
Answer: GCF of Numerators as per given numbers 8518/748, 4207/5206 is
GCF of Numerators i.e. for 8518,4207 is 1
LCM of denominators i.e. for 748,5206 is 1947044.
Thus, GCF of Fractions is 1/1947044.Finally, GCF of Fractions for 8518/748, 4207/5206 is 1/1947044.