GCF of 348/147, 232/783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 348/147, 232/783 i.e 116/38367 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/147, 232/783.
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 348/147,232/783?
Given fractions are 348/147,232/783
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 348/147,232/783, numerators are 348,232
Denominators are 147,783
The GCF of 348,232 is 116 .
LCM of 147,783 is 38367.
The greatest common factor of 348/147,232/783 = [GCF of 348,232]/[LCM of 147,783]= 116/38367
Therefore, the GCF of 348/147,232/783 is 116/38367.
To find the highest common factor of 348,232, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232
The HCF of 348,232 is 116.
Lets's calculate GCF of 348,232
| 2 | 348, 232 |
| 2 | 174, 116 |
| 29 | 87, 58 |
| 3, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 29 = 116
Greatest Common Factor of 348,232 By Matching Biggest Common Factor Method
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 232
:1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 348,232 . The biggest common factor number is the GCF number.
So the greatest common factor 348,232 is 116.
Lets's calculate LCM of 147,783
| 3 | 147, 783 |
| 49, 261 |
∴ So the LCM of the given numbers is 3 x 49 x 261 = 38367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/38367
Therefore, the GCF of Fractions 348/147,232/783 is 116/38367
Least Common Multiple of 147,783 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 147,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,783) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(147,783) x common factors =3 x 1 = 3
LCM(147,783) = ( 147 × 783 ) / 3
LCM(147,783) = 115101 / 3
LCM(147,783) = 38367
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FAQs on GCF of Fractions of 348/147, 232/783
1. What is the HCF of 348,232?
The HCF of 348,232 is 116
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 348/147, 232/783?
Answer: GCF of Numerators as per given numbers 348/147, 232/783 is
GCF of Numerators i.e. for 348,232 is 116
LCM of denominators i.e. for 147,783 is 38367.
Thus, GCF of Fractions is 116/38367.Finally, GCF of Fractions for 348/147, 232/783 is 116/38367.