GCF of 8436/508, 7725/5226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8436/508, 7725/5226 i.e 3/1327404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8436/508, 7725/5226.
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 8436/508,7725/5226?
Given fractions are 8436/508,7725/5226
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 8436/508,7725/5226, numerators are 8436,7725
Denominators are 508,5226
The GCF of 8436,7725 is 3 .
LCM of 508,5226 is 1327404.
The greatest common factor of 8436/508,7725/5226 = [GCF of 8436,7725]/[LCM of 508,5226]= 3/1327404
Therefore, the GCF of 8436/508,7725/5226 is 3/1327404.
To find the highest common factor of 8436,7725, we have to find the factors of both numbers and list the highest common factor.
The factors of 8436 are 1, 2, 3, 4, 6, 12, 19, 37, 38, 57, 74, 76, 111, 114, 148, 222, 228, 444, 703, 1406, 2109, 2812, 4218, 8436
The factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725
The HCF of 8436,7725 is 3.
Lets's calculate GCF of 8436,7725
| 3 | 8436, 7725 |
| 2812, 2575 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8436,7725 By Matching Biggest Common Factor Method
Now, list down the factors of 8436
:1,2,3,4,6,12,19,37,38,57,74,76,111,114,148,222,228,444,703,1406,2109,2812,4218,8436
Now, list down the factors of 7725
:1,3,5,15,25,75,103,309,515,1545,2575,7725
Greatest Common Factor
We found the factors 8436,7725 . The biggest common factor number is the GCF number.
So the greatest common factor 8436,7725 is 3.
Lets's calculate LCM of 508,5226
| 2 | 508, 5226 |
| 254, 2613 |
∴ So the LCM of the given numbers is 2 x 254 x 2613 = 1327404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1327404
Therefore, the GCF of Fractions 8436/508,7725/5226 is 3/1327404
Least Common Multiple of 508,5226 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 508,5226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,5226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,5226) x common factors =2 x 1 = 2
LCM(508,5226) = ( 508 × 5226 ) / 2
LCM(508,5226) = 2654808 / 2
LCM(508,5226) = 1327404
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FAQs on GCF of Fractions of 8436/508, 7725/5226
1. What is the HCF of 8436,7725?
The HCF of 8436,7725 is 3
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 8436/508, 7725/5226?
Answer: GCF of Numerators as per given numbers 8436/508, 7725/5226 is
GCF of Numerators i.e. for 8436,7725 is 3
LCM of denominators i.e. for 508,5226 is 1327404.
Thus, GCF of Fractions is 3/1327404.Finally, GCF of Fractions for 8436/508, 7725/5226 is 3/1327404.