GCF of 4272/998, 1904/7830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4272/998, 1904/7830 i.e 16/3907170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4272/998, 1904/7830.
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 4272/998,1904/7830?
Given fractions are 4272/998,1904/7830
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 4272/998,1904/7830, numerators are 4272,1904
Denominators are 998,7830
The GCF of 4272,1904 is 16 .
LCM of 998,7830 is 3907170.
The greatest common factor of 4272/998,1904/7830 = [GCF of 4272,1904]/[LCM of 998,7830]= 16/3907170
Therefore, the GCF of 4272/998,1904/7830 is 16/3907170.
To find the highest common factor of 4272,1904, we have to find the factors of both numbers and list the highest common factor.
The factors of 4272 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272
The factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904
The HCF of 4272,1904 is 16.
Lets's calculate GCF of 4272,1904
| 2 | 4272, 1904 |
| 2 | 2136, 952 |
| 2 | 1068, 476 |
| 2 | 534, 238 |
| 267, 119 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4272,1904 By Matching Biggest Common Factor Method
Now, list down the factors of 4272
:1,2,3,4,6,8,12,16,24,48,89,178,267,356,534,712,1068,1424,2136,4272
Now, list down the factors of 1904
:1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904
Greatest Common Factor
We found the factors 4272,1904 . The biggest common factor number is the GCF number.
So the greatest common factor 4272,1904 is 16.
Lets's calculate LCM of 998,7830
| 2 | 998, 7830 |
| 499, 3915 |
∴ So the LCM of the given numbers is 2 x 499 x 3915 = 3907170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3907170
Therefore, the GCF of Fractions 4272/998,1904/7830 is 16/3907170
Least Common Multiple of 998,7830 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 998,7830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,7830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(998,7830) x common factors =2 x 1 = 2
LCM(998,7830) = ( 998 × 7830 ) / 2
LCM(998,7830) = 7814340 / 2
LCM(998,7830) = 3907170
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FAQs on GCF of Fractions of 4272/998, 1904/7830
1. What is the HCF of 4272,1904?
The HCF of 4272,1904 is 16
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 4272/998, 1904/7830?
Answer: GCF of Numerators as per given numbers 4272/998, 1904/7830 is
GCF of Numerators i.e. for 4272,1904 is 16
LCM of denominators i.e. for 998,7830 is 3907170.
Thus, GCF of Fractions is 16/3907170.Finally, GCF of Fractions for 4272/998, 1904/7830 is 16/3907170.