GCF of 962/964, 5698/826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 962/964, 5698/826 i.e 74/398132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 962/964, 5698/826.
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 962/964,5698/826?
Given fractions are 962/964,5698/826
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 962/964,5698/826, numerators are 962,5698
Denominators are 964,826
The GCF of 962,5698 is 74 .
LCM of 964,826 is 398132.
The greatest common factor of 962/964,5698/826 = [GCF of 962,5698]/[LCM of 964,826]= 74/398132
Therefore, the GCF of 962/964,5698/826 is 74/398132.
To find the highest common factor of 962,5698, we have to find the factors of both numbers and list the highest common factor.
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698
The HCF of 962,5698 is 74.
Lets's calculate GCF of 962,5698
| 2 | 962, 5698 |
| 37 | 481, 2849 |
| 13, 77 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 962,5698 By Matching Biggest Common Factor Method
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Now, list down the factors of 5698
:1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698
Greatest Common Factor
We found the factors 962,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 962,5698 is 74.
Lets's calculate LCM of 964,826
| 2 | 964, 826 |
| 482, 413 |
∴ So the LCM of the given numbers is 2 x 482 x 413 = 398132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/398132
Therefore, the GCF of Fractions 962/964,5698/826 is 74/398132
Least Common Multiple of 964,826 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 964,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(964,826) x common factors =2 x 1 = 2
LCM(964,826) = ( 964 × 826 ) / 2
LCM(964,826) = 796264 / 2
LCM(964,826) = 398132
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FAQs on GCF of Fractions of 962/964, 5698/826
1. What is the HCF of 962,5698?
The HCF of 962,5698 is 74
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 962/964, 5698/826?
Answer: GCF of Numerators as per given numbers 962/964, 5698/826 is
GCF of Numerators i.e. for 962,5698 is 74
LCM of denominators i.e. for 964,826 is 398132.
Thus, GCF of Fractions is 74/398132.Finally, GCF of Fractions for 962/964, 5698/826 is 74/398132.