GCF of 4622/978, 7166/2661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4622/978, 7166/2661 i.e 2/867486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4622/978, 7166/2661.
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 4622/978,7166/2661?
Given fractions are 4622/978,7166/2661
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 4622/978,7166/2661, numerators are 4622,7166
Denominators are 978,2661
The GCF of 4622,7166 is 2 .
LCM of 978,2661 is 867486.
The greatest common factor of 4622/978,7166/2661 = [GCF of 4622,7166]/[LCM of 978,2661]= 2/867486
Therefore, the GCF of 4622/978,7166/2661 is 2/867486.
To find the highest common factor of 4622,7166, we have to find the factors of both numbers and list the highest common factor.
The factors of 4622 are 1, 2, 2311, 4622
The factors of 7166 are 1, 2, 3583, 7166
The HCF of 4622,7166 is 2.
Lets's calculate GCF of 4622,7166
| 2 | 4622, 7166 |
| 2311, 3583 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4622,7166 By Matching Biggest Common Factor Method
Now, list down the factors of 4622
:1,2,2311,4622
Now, list down the factors of 7166
:1,2,3583,7166
Greatest Common Factor
We found the factors 4622,7166 . The biggest common factor number is the GCF number.
So the greatest common factor 4622,7166 is 2.
Lets's calculate LCM of 978,2661
| 3 | 978, 2661 |
| 326, 887 |
∴ So the LCM of the given numbers is 3 x 326 x 887 = 867486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/867486
Therefore, the GCF of Fractions 4622/978,7166/2661 is 2/867486
Least Common Multiple of 978,2661 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 978,2661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,2661) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(978,2661) x common factors =3 x 1 = 3
LCM(978,2661) = ( 978 × 2661 ) / 3
LCM(978,2661) = 2602458 / 3
LCM(978,2661) = 867486
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4622/978, 7166/2661
1. What is the HCF of 4622,7166?
The HCF of 4622,7166 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 4622/978, 7166/2661?
Answer: GCF of Numerators as per given numbers 4622/978, 7166/2661 is
GCF of Numerators i.e. for 4622,7166 is 2
LCM of denominators i.e. for 978,2661 is 867486.
Thus, GCF of Fractions is 2/867486.Finally, GCF of Fractions for 4622/978, 7166/2661 is 2/867486.