GCF of 2272/462, 6518/3572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2272/462, 6518/3572 i.e 2/825132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2272/462, 6518/3572.
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 2272/462,6518/3572?
Given fractions are 2272/462,6518/3572
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 2272/462,6518/3572, numerators are 2272,6518
Denominators are 462,3572
The GCF of 2272,6518 is 2 .
LCM of 462,3572 is 825132.
The greatest common factor of 2272/462,6518/3572 = [GCF of 2272,6518]/[LCM of 462,3572]= 2/825132
Therefore, the GCF of 2272/462,6518/3572 is 2/825132.
To find the highest common factor of 2272,6518, we have to find the factors of both numbers and list the highest common factor.
The factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272
The factors of 6518 are 1, 2, 3259, 6518
The HCF of 2272,6518 is 2.
Lets's calculate GCF of 2272,6518
| 2 | 2272, 6518 |
| 1136, 3259 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2272,6518 By Matching Biggest Common Factor Method
Now, list down the factors of 2272
:1,2,4,8,16,32,71,142,284,568,1136,2272
Now, list down the factors of 6518
:1,2,3259,6518
Greatest Common Factor
We found the factors 2272,6518 . The biggest common factor number is the GCF number.
So the greatest common factor 2272,6518 is 2.
Lets's calculate LCM of 462,3572
| 2 | 462, 3572 |
| 231, 1786 |
∴ So the LCM of the given numbers is 2 x 231 x 1786 = 825132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/825132
Therefore, the GCF of Fractions 2272/462,6518/3572 is 2/825132
Least Common Multiple of 462,3572 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 462,3572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,3572) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(462,3572) x common factors =2 x 1 = 2
LCM(462,3572) = ( 462 × 3572 ) / 2
LCM(462,3572) = 1650264 / 2
LCM(462,3572) = 825132
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FAQs on GCF of Fractions of 2272/462, 6518/3572
1. What is the HCF of 2272,6518?
The HCF of 2272,6518 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 2272/462, 6518/3572?
Answer: GCF of Numerators as per given numbers 2272/462, 6518/3572 is
GCF of Numerators i.e. for 2272,6518 is 2
LCM of denominators i.e. for 462,3572 is 825132.
Thus, GCF of Fractions is 2/825132.Finally, GCF of Fractions for 2272/462, 6518/3572 is 2/825132.