GCF of 8962/512, 2534/845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8962/512, 2534/845 i.e 2/432640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8962/512, 2534/845.
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 8962/512,2534/845?
Given fractions are 8962/512,2534/845
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 8962/512,2534/845, numerators are 8962,2534
Denominators are 512,845
The GCF of 8962,2534 is 2 .
LCM of 512,845 is 432640.
The greatest common factor of 8962/512,2534/845 = [GCF of 8962,2534]/[LCM of 512,845]= 2/432640
Therefore, the GCF of 8962/512,2534/845 is 2/432640.
To find the highest common factor of 8962,2534, we have to find the factors of both numbers and list the highest common factor.
The factors of 8962 are 1, 2, 4481, 8962
The factors of 2534 are 1, 2, 7, 14, 181, 362, 1267, 2534
The HCF of 8962,2534 is 2.
Lets's calculate GCF of 8962,2534
| 2 | 8962, 2534 |
| 4481, 1267 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8962,2534 By Matching Biggest Common Factor Method
Now, list down the factors of 8962
:1,2,4481,8962
Now, list down the factors of 2534
:1,2,7,14,181,362,1267,2534
Greatest Common Factor
We found the factors 8962,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 8962,2534 is 2.
Lets's calculate LCM of 512,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 432640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/432640
Therefore, the GCF of Fractions 8962/512,2534/845 is 2/432640
Least Common Multiple of 512,845 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 512,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,845) x common factors =1 x 1 = 1
LCM(512,845) = ( 512 × 845 ) / 1
LCM(512,845) = 432640 / 1
LCM(512,845) = 432640
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FAQs on GCF of Fractions of 8962/512, 2534/845
1. What is the HCF of 8962,2534?
The HCF of 8962,2534 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 8962/512, 2534/845?
Answer: GCF of Numerators as per given numbers 8962/512, 2534/845 is
GCF of Numerators i.e. for 8962,2534 is 2
LCM of denominators i.e. for 512,845 is 432640.
Thus, GCF of Fractions is 2/432640.Finally, GCF of Fractions for 8962/512, 2534/845 is 2/432640.