GCF of 7962/874, 9105/2888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7962/874, 9105/2888 i.e 3/66424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7962/874, 9105/2888.
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 7962/874,9105/2888?
Given fractions are 7962/874,9105/2888
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 7962/874,9105/2888, numerators are 7962,9105
Denominators are 874,2888
The GCF of 7962,9105 is 3 .
LCM of 874,2888 is 66424.
The greatest common factor of 7962/874,9105/2888 = [GCF of 7962,9105]/[LCM of 874,2888]= 3/66424
Therefore, the GCF of 7962/874,9105/2888 is 3/66424.
To find the highest common factor of 7962,9105, we have to find the factors of both numbers and list the highest common factor.
The factors of 7962 are 1, 2, 3, 6, 1327, 2654, 3981, 7962
The factors of 9105 are 1, 3, 5, 15, 607, 1821, 3035, 9105
The HCF of 7962,9105 is 3.
Lets's calculate GCF of 7962,9105
| 3 | 7962, 9105 |
| 2654, 3035 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7962,9105 By Matching Biggest Common Factor Method
Now, list down the factors of 7962
:1,2,3,6,1327,2654,3981,7962
Now, list down the factors of 9105
:1,3,5,15,607,1821,3035,9105
Greatest Common Factor
We found the factors 7962,9105 . The biggest common factor number is the GCF number.
So the greatest common factor 7962,9105 is 3.
Lets's calculate LCM of 874,2888
| 2 | 874, 2888 |
| 19 | 437, 1444 |
| 23, 76 |
∴ So the LCM of the given numbers is 2 x 19 x 23 x 76 = 66424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/66424
Therefore, the GCF of Fractions 7962/874,9105/2888 is 3/66424
Least Common Multiple of 874,2888 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 874,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,2888) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(874,2888) x common factors =38 x 1 = 38
LCM(874,2888) = ( 874 × 2888 ) / 38
LCM(874,2888) = 2524112 / 38
LCM(874,2888) = 66424
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FAQs on GCF of Fractions of 7962/874, 9105/2888
1. What is the HCF of 7962,9105?
The HCF of 7962,9105 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 7962/874, 9105/2888?
Answer: GCF of Numerators as per given numbers 7962/874, 9105/2888 is
GCF of Numerators i.e. for 7962,9105 is 3
LCM of denominators i.e. for 874,2888 is 66424.
Thus, GCF of Fractions is 3/66424.Finally, GCF of Fractions for 7962/874, 9105/2888 is 3/66424.