GCF of 2567/812, 5196/3598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2567/812, 5196/3598 i.e 1/208684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2567/812, 5196/3598.
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 2567/812,5196/3598?
Given fractions are 2567/812,5196/3598
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 2567/812,5196/3598, numerators are 2567,5196
Denominators are 812,3598
The GCF of 2567,5196 is 1 .
LCM of 812,3598 is 208684.
The greatest common factor of 2567/812,5196/3598 = [GCF of 2567,5196]/[LCM of 812,3598]= 1/208684
Therefore, the GCF of 2567/812,5196/3598 is 1/208684.
To find the highest common factor of 2567,5196, we have to find the factors of both numbers and list the highest common factor.
The factors of 2567 are 1, 17, 151, 2567
The factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196
The HCF of 2567,5196 is 1.
Lets's calculate GCF of 2567,5196
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2567,5196 By Matching Biggest Common Factor Method
Now, list down the factors of 2567
:1,17,151,2567
Now, list down the factors of 5196
:1,2,3,4,6,12,433,866,1299,1732,2598,5196
Greatest Common Factor
We found the factors 2567,5196 . The biggest common factor number is the GCF number.
So the greatest common factor 2567,5196 is 1.
Lets's calculate LCM of 812,3598
| 2 | 812, 3598 |
| 7 | 406, 1799 |
| 58, 257 |
∴ So the LCM of the given numbers is 2 x 7 x 58 x 257 = 208684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208684
Therefore, the GCF of Fractions 2567/812,5196/3598 is 1/208684
Least Common Multiple of 812,3598 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 812,3598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,3598) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(812,3598) x common factors =14 x 1 = 14
LCM(812,3598) = ( 812 × 3598 ) / 14
LCM(812,3598) = 2921576 / 14
LCM(812,3598) = 208684
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FAQs on GCF of Fractions of 2567/812, 5196/3598
1. What is the HCF of 2567,5196?
The HCF of 2567,5196 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 2567/812, 5196/3598?
Answer: GCF of Numerators as per given numbers 2567/812, 5196/3598 is
GCF of Numerators i.e. for 2567,5196 is 1
LCM of denominators i.e. for 812,3598 is 208684.
Thus, GCF of Fractions is 1/208684.Finally, GCF of Fractions for 2567/812, 5196/3598 is 1/208684.