GCF of 1822/742, 2992/9261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1822/742, 2992/9261 i.e 2/981666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1822/742, 2992/9261.
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 1822/742,2992/9261?
Given fractions are 1822/742,2992/9261
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 1822/742,2992/9261, numerators are 1822,2992
Denominators are 742,9261
The GCF of 1822,2992 is 2 .
LCM of 742,9261 is 981666.
The greatest common factor of 1822/742,2992/9261 = [GCF of 1822,2992]/[LCM of 742,9261]= 2/981666
Therefore, the GCF of 1822/742,2992/9261 is 2/981666.
To find the highest common factor of 1822,2992, we have to find the factors of both numbers and list the highest common factor.
The factors of 1822 are 1, 2, 911, 1822
The factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992
The HCF of 1822,2992 is 2.
Lets's calculate GCF of 1822,2992
| 2 | 1822, 2992 |
| 911, 1496 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1822,2992 By Matching Biggest Common Factor Method
Now, list down the factors of 1822
:1,2,911,1822
Now, list down the factors of 2992
:1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Greatest Common Factor
We found the factors 1822,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 1822,2992 is 2.
Lets's calculate LCM of 742,9261
| 7 | 742, 9261 |
| 106, 1323 |
∴ So the LCM of the given numbers is 7 x 106 x 1323 = 981666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/981666
Therefore, the GCF of Fractions 1822/742,2992/9261 is 2/981666
Least Common Multiple of 742,9261 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 742,9261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,9261) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(742,9261) x common factors =7 x 1 = 7
LCM(742,9261) = ( 742 × 9261 ) / 7
LCM(742,9261) = 6871662 / 7
LCM(742,9261) = 981666
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FAQs on GCF of Fractions of 1822/742, 2992/9261
1. What is the HCF of 1822,2992?
The HCF of 1822,2992 is 2
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 1822/742, 2992/9261?
Answer: GCF of Numerators as per given numbers 1822/742, 2992/9261 is
GCF of Numerators i.e. for 1822,2992 is 2
LCM of denominators i.e. for 742,9261 is 981666.
Thus, GCF of Fractions is 2/981666.Finally, GCF of Fractions for 1822/742, 2992/9261 is 2/981666.