GCF of 4992/422, 1235/1294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4992/422, 1235/1294 i.e 13/273034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4992/422, 1235/1294.
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 4992/422,1235/1294?
Given fractions are 4992/422,1235/1294
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 4992/422,1235/1294, numerators are 4992,1235
Denominators are 422,1294
The GCF of 4992,1235 is 13 .
LCM of 422,1294 is 273034.
The greatest common factor of 4992/422,1235/1294 = [GCF of 4992,1235]/[LCM of 422,1294]= 13/273034
Therefore, the GCF of 4992/422,1235/1294 is 13/273034.
To find the highest common factor of 4992,1235, we have to find the factors of both numbers and list the highest common factor.
The factors of 4992 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 624, 832, 1248, 1664, 2496, 4992
The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235
The HCF of 4992,1235 is 13.
Lets's calculate GCF of 4992,1235
| 13 | 4992, 1235 |
| 384, 95 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4992,1235 By Matching Biggest Common Factor Method
Now, list down the factors of 4992
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992
Now, list down the factors of 1235
:1,5,13,19,65,95,247,1235
Greatest Common Factor
We found the factors 4992,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 4992,1235 is 13.
Lets's calculate LCM of 422,1294
| 2 | 422, 1294 |
| 211, 647 |
∴ So the LCM of the given numbers is 2 x 211 x 647 = 273034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/273034
Therefore, the GCF of Fractions 4992/422,1235/1294 is 13/273034
Least Common Multiple of 422,1294 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 422,1294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,1294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,1294) x common factors =2 x 1 = 2
LCM(422,1294) = ( 422 × 1294 ) / 2
LCM(422,1294) = 546068 / 2
LCM(422,1294) = 273034
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FAQs on GCF of Fractions of 4992/422, 1235/1294
1. What is the HCF of 4992,1235?
The HCF of 4992,1235 is 13
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 4992/422, 1235/1294?
Answer: GCF of Numerators as per given numbers 4992/422, 1235/1294 is
GCF of Numerators i.e. for 4992,1235 is 13
LCM of denominators i.e. for 422,1294 is 273034.
Thus, GCF of Fractions is 13/273034.Finally, GCF of Fractions for 4992/422, 1235/1294 is 13/273034.