GCF of 4992/532, 4746/717
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4992/532, 4746/717 i.e 6/381444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4992/532, 4746/717.
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 4992/532,4746/717?
Given fractions are 4992/532,4746/717
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 4992/532,4746/717, numerators are 4992,4746
Denominators are 532,717
The GCF of 4992,4746 is 6 .
LCM of 532,717 is 381444.
The greatest common factor of 4992/532,4746/717 = [GCF of 4992,4746]/[LCM of 532,717]= 6/381444
Therefore, the GCF of 4992/532,4746/717 is 6/381444.
To find the highest common factor of 4992,4746, 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 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746
The HCF of 4992,4746 is 6.
Lets's calculate GCF of 4992,4746
| 2 | 4992, 4746 |
| 3 | 2496, 2373 |
| 832, 791 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4992,4746 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 4746
:1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746
Greatest Common Factor
We found the factors 4992,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 4992,4746 is 6.
Lets's calculate LCM of 532,717
Given numbers has no common factors except 1. So, there LCM is their product i.e 381444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/381444
Therefore, the GCF of Fractions 4992/532,4746/717 is 6/381444
Least Common Multiple of 532,717 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 532,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(532,717) x common factors =1 x 1 = 1
LCM(532,717) = ( 532 × 717 ) / 1
LCM(532,717) = 381444 / 1
LCM(532,717) = 381444
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FAQs on GCF of Fractions of 4992/532, 4746/717
1. What is the HCF of 4992,4746?
The HCF of 4992,4746 is 6
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 4992/532, 4746/717?
Answer: GCF of Numerators as per given numbers 4992/532, 4746/717 is
GCF of Numerators i.e. for 4992,4746 is 6
LCM of denominators i.e. for 532,717 is 381444.
Thus, GCF of Fractions is 6/381444.Finally, GCF of Fractions for 4992/532, 4746/717 is 6/381444.