GCF of 1716/104, 7904/4402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1716/104, 7904/4402 i.e 52/228904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1716/104, 7904/4402.
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 1716/104,7904/4402?
Given fractions are 1716/104,7904/4402
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 1716/104,7904/4402, numerators are 1716,7904
Denominators are 104,4402
The GCF of 1716,7904 is 52 .
LCM of 104,4402 is 228904.
The greatest common factor of 1716/104,7904/4402 = [GCF of 1716,7904]/[LCM of 104,4402]= 52/228904
Therefore, the GCF of 1716/104,7904/4402 is 52/228904.
To find the highest common factor of 1716,7904, we have to find the factors of both numbers and list the highest common factor.
The factors of 1716 are 1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 286, 429, 572, 858, 1716
The factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904
The HCF of 1716,7904 is 52.
Lets's calculate GCF of 1716,7904
| 2 | 1716, 7904 |
| 2 | 858, 3952 |
| 13 | 429, 1976 |
| 33, 152 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 1716,7904 By Matching Biggest Common Factor Method
Now, list down the factors of 1716
:1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716
Now, list down the factors of 7904
:1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904
Greatest Common Factor
We found the factors 1716,7904 . The biggest common factor number is the GCF number.
So the greatest common factor 1716,7904 is 52.
Lets's calculate LCM of 104,4402
| 2 | 104, 4402 |
| 52, 2201 |
∴ So the LCM of the given numbers is 2 x 52 x 2201 = 228904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/228904
Therefore, the GCF of Fractions 1716/104,7904/4402 is 52/228904
Least Common Multiple of 104,4402 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 104,4402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,4402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(104,4402) x common factors =2 x 1 = 2
LCM(104,4402) = ( 104 × 4402 ) / 2
LCM(104,4402) = 457808 / 2
LCM(104,4402) = 228904
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FAQs on GCF of Fractions of 1716/104, 7904/4402
1. What is the HCF of 1716,7904?
The HCF of 1716,7904 is 52
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 1716/104, 7904/4402?
Answer: GCF of Numerators as per given numbers 1716/104, 7904/4402 is
GCF of Numerators i.e. for 1716,7904 is 52
LCM of denominators i.e. for 104,4402 is 228904.
Thus, GCF of Fractions is 52/228904.Finally, GCF of Fractions for 1716/104, 7904/4402 is 52/228904.