GCF of 4914/172, 6734/4450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4914/172, 6734/4450 i.e 182/382700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4914/172, 6734/4450.
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 4914/172,6734/4450?
Given fractions are 4914/172,6734/4450
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 4914/172,6734/4450, numerators are 4914,6734
Denominators are 172,4450
The GCF of 4914,6734 is 182 .
LCM of 172,4450 is 382700.
The greatest common factor of 4914/172,6734/4450 = [GCF of 4914,6734]/[LCM of 172,4450]= 182/382700
Therefore, the GCF of 4914/172,6734/4450 is 182/382700.
To find the highest common factor of 4914,6734, we have to find the factors of both numbers and list the highest common factor.
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734
The HCF of 4914,6734 is 182.
Lets's calculate GCF of 4914,6734
| 2 | 4914, 6734 |
| 7 | 2457, 3367 |
| 13 | 351, 481 |
| 27, 37 |
∴ So the GCF of the given numbers is 2 x 7 x 13 = 182
Greatest Common Factor of 4914,6734 By Matching Biggest Common Factor Method
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Now, list down the factors of 6734
:1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734
Greatest Common Factor
We found the factors 4914,6734 . The biggest common factor number is the GCF number.
So the greatest common factor 4914,6734 is 182.
Lets's calculate LCM of 172,4450
| 2 | 172, 4450 |
| 86, 2225 |
∴ So the LCM of the given numbers is 2 x 86 x 2225 = 382700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 182/382700
Therefore, the GCF of Fractions 4914/172,6734/4450 is 182/382700
Least Common Multiple of 172,4450 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 172,4450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,4450) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,4450) x common factors =2 x 1 = 2
LCM(172,4450) = ( 172 × 4450 ) / 2
LCM(172,4450) = 765400 / 2
LCM(172,4450) = 382700
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FAQs on GCF of Fractions of 4914/172, 6734/4450
1. What is the HCF of 4914,6734?
The HCF of 4914,6734 is 182
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 4914/172, 6734/4450?
Answer: GCF of Numerators as per given numbers 4914/172, 6734/4450 is
GCF of Numerators i.e. for 4914,6734 is 182
LCM of denominators i.e. for 172,4450 is 382700.
Thus, GCF of Fractions is 182/382700.Finally, GCF of Fractions for 4914/172, 6734/4450 is 182/382700.