GCF of 2768/962, 2674/2001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2768/962, 2674/2001 i.e 2/1924962 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2768/962, 2674/2001.
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 2768/962,2674/2001?
Given fractions are 2768/962,2674/2001
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 2768/962,2674/2001, numerators are 2768,2674
Denominators are 962,2001
The GCF of 2768,2674 is 2 .
LCM of 962,2001 is 1924962.
The greatest common factor of 2768/962,2674/2001 = [GCF of 2768,2674]/[LCM of 962,2001]= 2/1924962
Therefore, the GCF of 2768/962,2674/2001 is 2/1924962.
To find the highest common factor of 2768,2674, we have to find the factors of both numbers and list the highest common factor.
The factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768
The factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674
The HCF of 2768,2674 is 2.
Lets's calculate GCF of 2768,2674
| 2 | 2768, 2674 |
| 1384, 1337 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2768,2674 By Matching Biggest Common Factor Method
Now, list down the factors of 2768
:1,2,4,8,16,173,346,692,1384,2768
Now, list down the factors of 2674
:1,2,7,14,191,382,1337,2674
Greatest Common Factor
We found the factors 2768,2674 . The biggest common factor number is the GCF number.
So the greatest common factor 2768,2674 is 2.
Lets's calculate LCM of 962,2001
Given numbers has no common factors except 1. So, there LCM is their product i.e 1924962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1924962
Therefore, the GCF of Fractions 2768/962,2674/2001 is 2/1924962
Least Common Multiple of 962,2001 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 962,2001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,2001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(962,2001) x common factors =1 x 1 = 1
LCM(962,2001) = ( 962 × 2001 ) / 1
LCM(962,2001) = 1924962 / 1
LCM(962,2001) = 1924962
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FAQs on GCF of Fractions of 2768/962, 2674/2001
1. What is the HCF of 2768,2674?
The HCF of 2768,2674 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 2768/962, 2674/2001?
Answer: GCF of Numerators as per given numbers 2768/962, 2674/2001 is
GCF of Numerators i.e. for 2768,2674 is 2
LCM of denominators i.e. for 962,2001 is 1924962.
Thus, GCF of Fractions is 2/1924962.Finally, GCF of Fractions for 2768/962, 2674/2001 is 2/1924962.