GCF of 2962/705, 9918/922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2962/705, 9918/922 i.e 2/650010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2962/705, 9918/922.
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 2962/705,9918/922?
Given fractions are 2962/705,9918/922
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 2962/705,9918/922, numerators are 2962,9918
Denominators are 705,922
The GCF of 2962,9918 is 2 .
LCM of 705,922 is 650010.
The greatest common factor of 2962/705,9918/922 = [GCF of 2962,9918]/[LCM of 705,922]= 2/650010
Therefore, the GCF of 2962/705,9918/922 is 2/650010.
To find the highest common factor of 2962,9918, we have to find the factors of both numbers and list the highest common factor.
The factors of 2962 are 1, 2, 1481, 2962
The factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918
The HCF of 2962,9918 is 2.
Lets's calculate GCF of 2962,9918
| 2 | 2962, 9918 |
| 1481, 4959 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2962,9918 By Matching Biggest Common Factor Method
Now, list down the factors of 2962
:1,2,1481,2962
Now, list down the factors of 9918
:1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918
Greatest Common Factor
We found the factors 2962,9918 . The biggest common factor number is the GCF number.
So the greatest common factor 2962,9918 is 2.
Lets's calculate LCM of 705,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 650010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/650010
Therefore, the GCF of Fractions 2962/705,9918/922 is 2/650010
Least Common Multiple of 705,922 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 705,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,922) x common factors =1 x 1 = 1
LCM(705,922) = ( 705 × 922 ) / 1
LCM(705,922) = 650010 / 1
LCM(705,922) = 650010
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FAQs on GCF of Fractions of 2962/705, 9918/922
1. What is the HCF of 2962,9918?
The HCF of 2962,9918 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 2962/705, 9918/922?
Answer: GCF of Numerators as per given numbers 2962/705, 9918/922 is
GCF of Numerators i.e. for 2962,9918 is 2
LCM of denominators i.e. for 705,922 is 650010.
Thus, GCF of Fractions is 2/650010.Finally, GCF of Fractions for 2962/705, 9918/922 is 2/650010.