GCF of 1236/194, 4748/3268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1236/194, 4748/3268 i.e 4/316996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1236/194, 4748/3268.
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 1236/194,4748/3268?
Given fractions are 1236/194,4748/3268
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 1236/194,4748/3268, numerators are 1236,4748
Denominators are 194,3268
The GCF of 1236,4748 is 4 .
LCM of 194,3268 is 316996.
The greatest common factor of 1236/194,4748/3268 = [GCF of 1236,4748]/[LCM of 194,3268]= 4/316996
Therefore, the GCF of 1236/194,4748/3268 is 4/316996.
To find the highest common factor of 1236,4748, we have to find the factors of both numbers and list the highest common factor.
The factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236
The factors of 4748 are 1, 2, 4, 1187, 2374, 4748
The HCF of 1236,4748 is 4.
Lets's calculate GCF of 1236,4748
| 2 | 1236, 4748 |
| 2 | 618, 2374 |
| 309, 1187 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1236,4748 By Matching Biggest Common Factor Method
Now, list down the factors of 1236
:1,2,3,4,6,12,103,206,309,412,618,1236
Now, list down the factors of 4748
:1,2,4,1187,2374,4748
Greatest Common Factor
We found the factors 1236,4748 . The biggest common factor number is the GCF number.
So the greatest common factor 1236,4748 is 4.
Lets's calculate LCM of 194,3268
| 2 | 194, 3268 |
| 97, 1634 |
∴ So the LCM of the given numbers is 2 x 97 x 1634 = 316996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/316996
Therefore, the GCF of Fractions 1236/194,4748/3268 is 4/316996
Least Common Multiple of 194,3268 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 194,3268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,3268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,3268) x common factors =2 x 1 = 2
LCM(194,3268) = ( 194 × 3268 ) / 2
LCM(194,3268) = 633992 / 2
LCM(194,3268) = 316996
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FAQs on GCF of Fractions of 1236/194, 4748/3268
1. What is the HCF of 1236,4748?
The HCF of 1236,4748 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 1236/194, 4748/3268?
Answer: GCF of Numerators as per given numbers 1236/194, 4748/3268 is
GCF of Numerators i.e. for 1236,4748 is 4
LCM of denominators i.e. for 194,3268 is 316996.
Thus, GCF of Fractions is 4/316996.Finally, GCF of Fractions for 1236/194, 4748/3268 is 4/316996.