GCF of 424/19, 292/510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/19, 292/510 i.e 4/9690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/19, 292/510.
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 424/19,292/510?
Given fractions are 424/19,292/510
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 424/19,292/510, numerators are 424,292
Denominators are 19,510
The GCF of 424,292 is 4 .
LCM of 19,510 is 9690.
The greatest common factor of 424/19,292/510 = [GCF of 424,292]/[LCM of 19,510]= 4/9690
Therefore, the GCF of 424/19,292/510 is 4/9690.
To find the highest common factor of 424,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 424,292 is 4.
Lets's calculate GCF of 424,292
| 2 | 424, 292 |
| 2 | 212, 146 |
| 106, 73 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 424,292 By Matching Biggest Common Factor Method
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 424,292 . The biggest common factor number is the GCF number.
So the greatest common factor 424,292 is 4.
Lets's calculate LCM of 19,510
Given numbers has no common factors except 1. So, there LCM is their product i.e 9690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9690
Therefore, the GCF of Fractions 424/19,292/510 is 4/9690
Least Common Multiple of 19,510 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 19,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,510) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,510) x common factors =1 x 1 = 1
LCM(19,510) = ( 19 × 510 ) / 1
LCM(19,510) = 9690 / 1
LCM(19,510) = 9690
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FAQs on GCF of Fractions of 424/19, 292/510
1. What is the HCF of 424,292?
The HCF of 424,292 is 4
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 424/19, 292/510?
Answer: GCF of Numerators as per given numbers 424/19, 292/510 is
GCF of Numerators i.e. for 424,292 is 4
LCM of denominators i.e. for 19,510 is 9690.
Thus, GCF of Fractions is 4/9690.Finally, GCF of Fractions for 424/19, 292/510 is 4/9690.