GCF of 2094/904, 7978/8618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2094/904, 7978/8618 i.e 2/3895336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2094/904, 7978/8618.
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 2094/904,7978/8618?
Given fractions are 2094/904,7978/8618
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 2094/904,7978/8618, numerators are 2094,7978
Denominators are 904,8618
The GCF of 2094,7978 is 2 .
LCM of 904,8618 is 3895336.
The greatest common factor of 2094/904,7978/8618 = [GCF of 2094,7978]/[LCM of 904,8618]= 2/3895336
Therefore, the GCF of 2094/904,7978/8618 is 2/3895336.
To find the highest common factor of 2094,7978, we have to find the factors of both numbers and list the highest common factor.
The factors of 2094 are 1, 2, 3, 6, 349, 698, 1047, 2094
The factors of 7978 are 1, 2, 3989, 7978
The HCF of 2094,7978 is 2.
Lets's calculate GCF of 2094,7978
| 2 | 2094, 7978 |
| 1047, 3989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2094,7978 By Matching Biggest Common Factor Method
Now, list down the factors of 2094
:1,2,3,6,349,698,1047,2094
Now, list down the factors of 7978
:1,2,3989,7978
Greatest Common Factor
We found the factors 2094,7978 . The biggest common factor number is the GCF number.
So the greatest common factor 2094,7978 is 2.
Lets's calculate LCM of 904,8618
| 2 | 904, 8618 |
| 452, 4309 |
∴ So the LCM of the given numbers is 2 x 452 x 4309 = 3895336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3895336
Therefore, the GCF of Fractions 2094/904,7978/8618 is 2/3895336
Least Common Multiple of 904,8618 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 904,8618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,8618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(904,8618) x common factors =2 x 1 = 2
LCM(904,8618) = ( 904 × 8618 ) / 2
LCM(904,8618) = 7790672 / 2
LCM(904,8618) = 3895336
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FAQs on GCF of Fractions of 2094/904, 7978/8618
1. What is the HCF of 2094,7978?
The HCF of 2094,7978 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 2094/904, 7978/8618?
Answer: GCF of Numerators as per given numbers 2094/904, 7978/8618 is
GCF of Numerators i.e. for 2094,7978 is 2
LCM of denominators i.e. for 904,8618 is 3895336.
Thus, GCF of Fractions is 2/3895336.Finally, GCF of Fractions for 2094/904, 7978/8618 is 2/3895336.