GCF of 874/430, 4104/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 874/430, 4104/971 i.e 38/417530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 874/430, 4104/971.
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 874/430,4104/971?
Given fractions are 874/430,4104/971
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 874/430,4104/971, numerators are 874,4104
Denominators are 430,971
The GCF of 874,4104 is 38 .
LCM of 430,971 is 417530.
The greatest common factor of 874/430,4104/971 = [GCF of 874,4104]/[LCM of 430,971]= 38/417530
Therefore, the GCF of 874/430,4104/971 is 38/417530.
To find the highest common factor of 874,4104, we have to find the factors of both numbers and list the highest common factor.
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104
The HCF of 874,4104 is 38.
Lets's calculate GCF of 874,4104
| 2 | 874, 4104 |
| 19 | 437, 2052 |
| 23, 108 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 874,4104 By Matching Biggest Common Factor Method
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Now, list down the factors of 4104
:1,2,3,4,6,8,9,12,18,19,24,27,36,38,54,57,72,76,108,114,152,171,216,228,342,456,513,684,1026,1368,2052,4104
Greatest Common Factor
We found the factors 874,4104 . The biggest common factor number is the GCF number.
So the greatest common factor 874,4104 is 38.
Lets's calculate LCM of 430,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 417530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/417530
Therefore, the GCF of Fractions 874/430,4104/971 is 38/417530
Least Common Multiple of 430,971 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 430,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(430,971) x common factors =1 x 1 = 1
LCM(430,971) = ( 430 × 971 ) / 1
LCM(430,971) = 417530 / 1
LCM(430,971) = 417530
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FAQs on GCF of Fractions of 874/430, 4104/971
1. What is the HCF of 874,4104?
The HCF of 874,4104 is 38
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 874/430, 4104/971?
Answer: GCF of Numerators as per given numbers 874/430, 4104/971 is
GCF of Numerators i.e. for 874,4104 is 38
LCM of denominators i.e. for 430,971 is 417530.
Thus, GCF of Fractions is 38/417530.Finally, GCF of Fractions for 874/430, 4104/971 is 38/417530.