GCF of 4372/867, 3496/243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4372/867, 3496/243 i.e 4/70227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4372/867, 3496/243.
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 4372/867,3496/243?
Given fractions are 4372/867,3496/243
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 4372/867,3496/243, numerators are 4372,3496
Denominators are 867,243
The GCF of 4372,3496 is 4 .
LCM of 867,243 is 70227.
The greatest common factor of 4372/867,3496/243 = [GCF of 4372,3496]/[LCM of 867,243]= 4/70227
Therefore, the GCF of 4372/867,3496/243 is 4/70227.
To find the highest common factor of 4372,3496, we have to find the factors of both numbers and list the highest common factor.
The factors of 4372 are 1, 2, 4, 1093, 2186, 4372
The factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496
The HCF of 4372,3496 is 4.
Lets's calculate GCF of 4372,3496
| 2 | 4372, 3496 |
| 2 | 2186, 1748 |
| 1093, 874 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4372,3496 By Matching Biggest Common Factor Method
Now, list down the factors of 4372
:1,2,4,1093,2186,4372
Now, list down the factors of 3496
:1,2,4,8,19,23,38,46,76,92,152,184,437,874,1748,3496
Greatest Common Factor
We found the factors 4372,3496 . The biggest common factor number is the GCF number.
So the greatest common factor 4372,3496 is 4.
Lets's calculate LCM of 867,243
| 3 | 867, 243 |
| 289, 81 |
∴ So the LCM of the given numbers is 3 x 289 x 81 = 70227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/70227
Therefore, the GCF of Fractions 4372/867,3496/243 is 4/70227
Least Common Multiple of 867,243 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 867,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,243) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,243) x common factors =3 x 1 = 3
LCM(867,243) = ( 867 × 243 ) / 3
LCM(867,243) = 210681 / 3
LCM(867,243) = 70227
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FAQs on GCF of Fractions of 4372/867, 3496/243
1. What is the HCF of 4372,3496?
The HCF of 4372,3496 is 4
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 4372/867, 3496/243?
Answer: GCF of Numerators as per given numbers 4372/867, 3496/243 is
GCF of Numerators i.e. for 4372,3496 is 4
LCM of denominators i.e. for 867,243 is 70227.
Thus, GCF of Fractions is 4/70227.Finally, GCF of Fractions for 4372/867, 3496/243 is 4/70227.