GCF of 2918/750, 9662/4894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2918/750, 9662/4894 i.e 2/1835250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2918/750, 9662/4894.
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 2918/750,9662/4894?
Given fractions are 2918/750,9662/4894
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 2918/750,9662/4894, numerators are 2918,9662
Denominators are 750,4894
The GCF of 2918,9662 is 2 .
LCM of 750,4894 is 1835250.
The greatest common factor of 2918/750,9662/4894 = [GCF of 2918,9662]/[LCM of 750,4894]= 2/1835250
Therefore, the GCF of 2918/750,9662/4894 is 2/1835250.
To find the highest common factor of 2918,9662, we have to find the factors of both numbers and list the highest common factor.
The factors of 2918 are 1, 2, 1459, 2918
The factors of 9662 are 1, 2, 4831, 9662
The HCF of 2918,9662 is 2.
Lets's calculate GCF of 2918,9662
| 2 | 2918, 9662 |
| 1459, 4831 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2918,9662 By Matching Biggest Common Factor Method
Now, list down the factors of 2918
:1,2,1459,2918
Now, list down the factors of 9662
:1,2,4831,9662
Greatest Common Factor
We found the factors 2918,9662 . The biggest common factor number is the GCF number.
So the greatest common factor 2918,9662 is 2.
Lets's calculate LCM of 750,4894
| 2 | 750, 4894 |
| 375, 2447 |
∴ So the LCM of the given numbers is 2 x 375 x 2447 = 1835250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1835250
Therefore, the GCF of Fractions 2918/750,9662/4894 is 2/1835250
Least Common Multiple of 750,4894 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 750,4894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,4894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,4894) x common factors =2 x 1 = 2
LCM(750,4894) = ( 750 × 4894 ) / 2
LCM(750,4894) = 3670500 / 2
LCM(750,4894) = 1835250
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FAQs on GCF of Fractions of 2918/750, 9662/4894
1. What is the HCF of 2918,9662?
The HCF of 2918,9662 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 2918/750, 9662/4894?
Answer: GCF of Numerators as per given numbers 2918/750, 9662/4894 is
GCF of Numerators i.e. for 2918,9662 is 2
LCM of denominators i.e. for 750,4894 is 1835250.
Thus, GCF of Fractions is 2/1835250.Finally, GCF of Fractions for 2918/750, 9662/4894 is 2/1835250.