GCF of 222/72, 658/810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 222/72, 658/810 i.e 2/3240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 222/72, 658/810.
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 222/72,658/810?
Given fractions are 222/72,658/810
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 222/72,658/810, numerators are 222,658
Denominators are 72,810
The GCF of 222,658 is 2 .
LCM of 72,810 is 3240.
The greatest common factor of 222/72,658/810 = [GCF of 222,658]/[LCM of 72,810]= 2/3240
Therefore, the GCF of 222/72,658/810 is 2/3240.
To find the highest common factor of 222,658, we have to find the factors of both numbers and list the highest common factor.
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The HCF of 222,658 is 2.
Lets's calculate GCF of 222,658
| 2 | 222, 658 |
| 111, 329 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 222,658 By Matching Biggest Common Factor Method
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 222,658 . The biggest common factor number is the GCF number.
So the greatest common factor 222,658 is 2.
Lets's calculate LCM of 72,810
| 2 | 72, 810 |
| 3 | 36, 405 |
| 3 | 12, 135 |
| 4, 45 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 45 = 3240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3240
Therefore, the GCF of Fractions 222/72,658/810 is 2/3240
Least Common Multiple of 72,810 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 72,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,810) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(72,810) x common factors =18 x 1 = 18
LCM(72,810) = ( 72 × 810 ) / 18
LCM(72,810) = 58320 / 18
LCM(72,810) = 3240
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FAQs on GCF of Fractions of 222/72, 658/810
1. What is the HCF of 222,658?
The HCF of 222,658 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 222/72, 658/810?
Answer: GCF of Numerators as per given numbers 222/72, 658/810 is
GCF of Numerators i.e. for 222,658 is 2
LCM of denominators i.e. for 72,810 is 3240.
Thus, GCF of Fractions is 2/3240.Finally, GCF of Fractions for 222/72, 658/810 is 2/3240.