GCF of 1941/994, 1224/830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1941/994, 1224/830 i.e 3/412510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1941/994, 1224/830.
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 1941/994,1224/830?
Given fractions are 1941/994,1224/830
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 1941/994,1224/830, numerators are 1941,1224
Denominators are 994,830
The GCF of 1941,1224 is 3 .
LCM of 994,830 is 412510.
The greatest common factor of 1941/994,1224/830 = [GCF of 1941,1224]/[LCM of 994,830]= 3/412510
Therefore, the GCF of 1941/994,1224/830 is 3/412510.
To find the highest common factor of 1941,1224, we have to find the factors of both numbers and list the highest common factor.
The factors of 1941 are 1, 3, 647, 1941
The factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224
The HCF of 1941,1224 is 3.
Lets's calculate GCF of 1941,1224
| 3 | 1941, 1224 |
| 647, 408 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1941,1224 By Matching Biggest Common Factor Method
Now, list down the factors of 1941
:1,3,647,1941
Now, list down the factors of 1224
:1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224
Greatest Common Factor
We found the factors 1941,1224 . The biggest common factor number is the GCF number.
So the greatest common factor 1941,1224 is 3.
Lets's calculate LCM of 994,830
| 2 | 994, 830 |
| 497, 415 |
∴ So the LCM of the given numbers is 2 x 497 x 415 = 412510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/412510
Therefore, the GCF of Fractions 1941/994,1224/830 is 3/412510
Least Common Multiple of 994,830 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 994,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,830) x common factors =2 x 1 = 2
LCM(994,830) = ( 994 × 830 ) / 2
LCM(994,830) = 825020 / 2
LCM(994,830) = 412510
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FAQs on GCF of Fractions of 1941/994, 1224/830
1. What is the HCF of 1941,1224?
The HCF of 1941,1224 is 3
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 1941/994, 1224/830?
Answer: GCF of Numerators as per given numbers 1941/994, 1224/830 is
GCF of Numerators i.e. for 1941,1224 is 3
LCM of denominators i.e. for 994,830 is 412510.
Thus, GCF of Fractions is 3/412510.Finally, GCF of Fractions for 1941/994, 1224/830 is 3/412510.