GCF of 1950/441, 3102/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1950/441, 3102/497 i.e 6/31311 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/441, 3102/497.
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 1950/441,3102/497?
Given fractions are 1950/441,3102/497
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 1950/441,3102/497, numerators are 1950,3102
Denominators are 441,497
The GCF of 1950,3102 is 6 .
LCM of 441,497 is 31311.
The greatest common factor of 1950/441,3102/497 = [GCF of 1950,3102]/[LCM of 441,497]= 6/31311
Therefore, the GCF of 1950/441,3102/497 is 6/31311.
To find the highest common factor of 1950,3102, we have to find the factors of both numbers and list the highest common factor.
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
The factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102
The HCF of 1950,3102 is 6.
Lets's calculate GCF of 1950,3102
| 2 | 1950, 3102 |
| 3 | 975, 1551 |
| 325, 517 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1950,3102 By Matching Biggest Common Factor Method
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Now, list down the factors of 3102
:1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102
Greatest Common Factor
We found the factors 1950,3102 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,3102 is 6.
Lets's calculate LCM of 441,497
| 7 | 441, 497 |
| 63, 71 |
∴ So the LCM of the given numbers is 7 x 63 x 71 = 31311
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/31311
Therefore, the GCF of Fractions 1950/441,3102/497 is 6/31311
Least Common Multiple of 441,497 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 441,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,497) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(441,497) x common factors =7 x 1 = 7
LCM(441,497) = ( 441 × 497 ) / 7
LCM(441,497) = 219177 / 7
LCM(441,497) = 31311
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FAQs on GCF of Fractions of 1950/441, 3102/497
1. What is the HCF of 1950,3102?
The HCF of 1950,3102 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 1950/441, 3102/497?
Answer: GCF of Numerators as per given numbers 1950/441, 3102/497 is
GCF of Numerators i.e. for 1950,3102 is 6
LCM of denominators i.e. for 441,497 is 31311.
Thus, GCF of Fractions is 6/31311.Finally, GCF of Fractions for 1950/441, 3102/497 is 6/31311.