GCF of 2122/768, 2074/7351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2122/768, 2074/7351 i.e 2/5645568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2122/768, 2074/7351.
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 2122/768,2074/7351?
Given fractions are 2122/768,2074/7351
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 2122/768,2074/7351, numerators are 2122,2074
Denominators are 768,7351
The GCF of 2122,2074 is 2 .
LCM of 768,7351 is 5645568.
The greatest common factor of 2122/768,2074/7351 = [GCF of 2122,2074]/[LCM of 768,7351]= 2/5645568
Therefore, the GCF of 2122/768,2074/7351 is 2/5645568.
To find the highest common factor of 2122,2074, we have to find the factors of both numbers and list the highest common factor.
The factors of 2122 are 1, 2, 1061, 2122
The factors of 2074 are 1, 2, 17, 34, 61, 122, 1037, 2074
The HCF of 2122,2074 is 2.
Lets's calculate GCF of 2122,2074
| 2 | 2122, 2074 |
| 1061, 1037 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2122,2074 By Matching Biggest Common Factor Method
Now, list down the factors of 2122
:1,2,1061,2122
Now, list down the factors of 2074
:1,2,17,34,61,122,1037,2074
Greatest Common Factor
We found the factors 2122,2074 . The biggest common factor number is the GCF number.
So the greatest common factor 2122,2074 is 2.
Lets's calculate LCM of 768,7351
Given numbers has no common factors except 1. So, there LCM is their product i.e 5645568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5645568
Therefore, the GCF of Fractions 2122/768,2074/7351 is 2/5645568
Least Common Multiple of 768,7351 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 768,7351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,7351) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,7351) x common factors =1 x 1 = 1
LCM(768,7351) = ( 768 × 7351 ) / 1
LCM(768,7351) = 5645568 / 1
LCM(768,7351) = 5645568
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FAQs on GCF of Fractions of 2122/768, 2074/7351
1. What is the HCF of 2122,2074?
The HCF of 2122,2074 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 2122/768, 2074/7351?
Answer: GCF of Numerators as per given numbers 2122/768, 2074/7351 is
GCF of Numerators i.e. for 2122,2074 is 2
LCM of denominators i.e. for 768,7351 is 5645568.
Thus, GCF of Fractions is 2/5645568.Finally, GCF of Fractions for 2122/768, 2074/7351 is 2/5645568.