GCF of 8024/540, 7486/812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8024/540, 7486/812 i.e 2/109620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8024/540, 7486/812.
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 8024/540,7486/812?
Given fractions are 8024/540,7486/812
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 8024/540,7486/812, numerators are 8024,7486
Denominators are 540,812
The GCF of 8024,7486 is 2 .
LCM of 540,812 is 109620.
The greatest common factor of 8024/540,7486/812 = [GCF of 8024,7486]/[LCM of 540,812]= 2/109620
Therefore, the GCF of 8024/540,7486/812 is 2/109620.
To find the highest common factor of 8024,7486, we have to find the factors of both numbers and list the highest common factor.
The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486
The HCF of 8024,7486 is 2.
Lets's calculate GCF of 8024,7486
| 2 | 8024, 7486 |
| 4012, 3743 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8024,7486 By Matching Biggest Common Factor Method
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Now, list down the factors of 7486
:1,2,19,38,197,394,3743,7486
Greatest Common Factor
We found the factors 8024,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 8024,7486 is 2.
Lets's calculate LCM of 540,812
| 2 | 540, 812 |
| 2 | 270, 406 |
| 135, 203 |
∴ So the LCM of the given numbers is 2 x 2 x 135 x 203 = 109620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109620
Therefore, the GCF of Fractions 8024/540,7486/812 is 2/109620
Least Common Multiple of 540,812 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 540,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(540,812) x common factors =4 x 1 = 4
LCM(540,812) = ( 540 × 812 ) / 4
LCM(540,812) = 438480 / 4
LCM(540,812) = 109620
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FAQs on GCF of Fractions of 8024/540, 7486/812
1. What is the HCF of 8024,7486?
The HCF of 8024,7486 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 8024/540, 7486/812?
Answer: GCF of Numerators as per given numbers 8024/540, 7486/812 is
GCF of Numerators i.e. for 8024,7486 is 2
LCM of denominators i.e. for 540,812 is 109620.
Thus, GCF of Fractions is 2/109620.Finally, GCF of Fractions for 8024/540, 7486/812 is 2/109620.