GCF of 8494/769, 2128/7851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8494/769, 2128/7851 i.e 2/6037419 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8494/769, 2128/7851.
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 8494/769,2128/7851?
Given fractions are 8494/769,2128/7851
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 8494/769,2128/7851, numerators are 8494,2128
Denominators are 769,7851
The GCF of 8494,2128 is 2 .
LCM of 769,7851 is 6037419.
The greatest common factor of 8494/769,2128/7851 = [GCF of 8494,2128]/[LCM of 769,7851]= 2/6037419
Therefore, the GCF of 8494/769,2128/7851 is 2/6037419.
To find the highest common factor of 8494,2128, we have to find the factors of both numbers and list the highest common factor.
The factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494
The factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128
The HCF of 8494,2128 is 2.
Lets's calculate GCF of 8494,2128
| 2 | 8494, 2128 |
| 4247, 1064 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8494,2128 By Matching Biggest Common Factor Method
Now, list down the factors of 8494
:1,2,31,62,137,274,4247,8494
Now, list down the factors of 2128
:1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128
Greatest Common Factor
We found the factors 8494,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 8494,2128 is 2.
Lets's calculate LCM of 769,7851
Given numbers has no common factors except 1. So, there LCM is their product i.e 6037419
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6037419
Therefore, the GCF of Fractions 8494/769,2128/7851 is 2/6037419
Least Common Multiple of 769,7851 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 769,7851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,7851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,7851) x common factors =1 x 1 = 1
LCM(769,7851) = ( 769 × 7851 ) / 1
LCM(769,7851) = 6037419 / 1
LCM(769,7851) = 6037419
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FAQs on GCF of Fractions of 8494/769, 2128/7851
1. What is the HCF of 8494,2128?
The HCF of 8494,2128 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 8494/769, 2128/7851?
Answer: GCF of Numerators as per given numbers 8494/769, 2128/7851 is
GCF of Numerators i.e. for 8494,2128 is 2
LCM of denominators i.e. for 769,7851 is 6037419.
Thus, GCF of Fractions is 2/6037419.Finally, GCF of Fractions for 8494/769, 2128/7851 is 2/6037419.