GCF of 252/437, 362/662
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 252/437, 362/662 i.e 2/289294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/437, 362/662.
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 252/437,362/662?
Given fractions are 252/437,362/662
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 252/437,362/662, numerators are 252,362
Denominators are 437,662
The GCF of 252,362 is 2 .
LCM of 437,662 is 289294.
The greatest common factor of 252/437,362/662 = [GCF of 252,362]/[LCM of 437,662]= 2/289294
Therefore, the GCF of 252/437,362/662 is 2/289294.
To find the highest common factor of 252,362, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 362 are 1, 2, 181, 362
The HCF of 252,362 is 2.
Lets's calculate GCF of 252,362
| 2 | 252, 362 |
| 126, 181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 252,362 By Matching Biggest Common Factor Method
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 362
:1,2,181,362
Greatest Common Factor
We found the factors 252,362 . The biggest common factor number is the GCF number.
So the greatest common factor 252,362 is 2.
Lets's calculate LCM of 437,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 289294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/289294
Therefore, the GCF of Fractions 252/437,362/662 is 2/289294
Least Common Multiple of 437,662 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 437,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(437,662) x common factors =1 x 1 = 1
LCM(437,662) = ( 437 × 662 ) / 1
LCM(437,662) = 289294 / 1
LCM(437,662) = 289294
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FAQs on GCF of Fractions of 252/437, 362/662
1. What is the HCF of 252,362?
The HCF of 252,362 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 252/437, 362/662?
Answer: GCF of Numerators as per given numbers 252/437, 362/662 is
GCF of Numerators i.e. for 252,362 is 2
LCM of denominators i.e. for 437,662 is 289294.
Thus, GCF of Fractions is 2/289294.Finally, GCF of Fractions for 252/437, 362/662 is 2/289294.