GCF of 8874/924, 1462/1523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8874/924, 1462/1523 i.e 34/1407252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8874/924, 1462/1523.
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 8874/924,1462/1523?
Given fractions are 8874/924,1462/1523
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 8874/924,1462/1523, numerators are 8874,1462
Denominators are 924,1523
The GCF of 8874,1462 is 34 .
LCM of 924,1523 is 1407252.
The greatest common factor of 8874/924,1462/1523 = [GCF of 8874,1462]/[LCM of 924,1523]= 34/1407252
Therefore, the GCF of 8874/924,1462/1523 is 34/1407252.
To find the highest common factor of 8874,1462, we have to find the factors of both numbers and list the highest common factor.
The factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874
The factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462
The HCF of 8874,1462 is 34.
Lets's calculate GCF of 8874,1462
| 2 | 8874, 1462 |
| 17 | 4437, 731 |
| 261, 43 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 8874,1462 By Matching Biggest Common Factor Method
Now, list down the factors of 8874
:1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874
Now, list down the factors of 1462
:1,2,17,34,43,86,731,1462
Greatest Common Factor
We found the factors 8874,1462 . The biggest common factor number is the GCF number.
So the greatest common factor 8874,1462 is 34.
Lets's calculate LCM of 924,1523
Given numbers has no common factors except 1. So, there LCM is their product i.e 1407252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1407252
Therefore, the GCF of Fractions 8874/924,1462/1523 is 34/1407252
Least Common Multiple of 924,1523 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 924,1523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,1523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,1523) x common factors =1 x 1 = 1
LCM(924,1523) = ( 924 × 1523 ) / 1
LCM(924,1523) = 1407252 / 1
LCM(924,1523) = 1407252
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FAQs on GCF of Fractions of 8874/924, 1462/1523
1. What is the HCF of 8874,1462?
The HCF of 8874,1462 is 34
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 8874/924, 1462/1523?
Answer: GCF of Numerators as per given numbers 8874/924, 1462/1523 is
GCF of Numerators i.e. for 8874,1462 is 34
LCM of denominators i.e. for 924,1523 is 1407252.
Thus, GCF of Fractions is 34/1407252.Finally, GCF of Fractions for 8874/924, 1462/1523 is 34/1407252.