GCF of 476/30, 292/8432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 476/30, 292/8432 i.e 4/126480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 476/30, 292/8432.
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 476/30,292/8432?
Given fractions are 476/30,292/8432
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 476/30,292/8432, numerators are 476,292
Denominators are 30,8432
The GCF of 476,292 is 4 .
LCM of 30,8432 is 126480.
The greatest common factor of 476/30,292/8432 = [GCF of 476,292]/[LCM of 30,8432]= 4/126480
Therefore, the GCF of 476/30,292/8432 is 4/126480.
To find the highest common factor of 476,292, we have to find the factors of both numbers and list the highest common factor.
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The factors of 292 are 1, 2, 4, 73, 146, 292
The HCF of 476,292 is 4.
Lets's calculate GCF of 476,292
| 2 | 476, 292 |
| 2 | 238, 146 |
| 119, 73 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 476,292 By Matching Biggest Common Factor Method
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Now, list down the factors of 292
:1,2,4,73,146,292
Greatest Common Factor
We found the factors 476,292 . The biggest common factor number is the GCF number.
So the greatest common factor 476,292 is 4.
Lets's calculate LCM of 30,8432
| 2 | 30, 8432 |
| 15, 4216 |
∴ So the LCM of the given numbers is 2 x 15 x 4216 = 126480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/126480
Therefore, the GCF of Fractions 476/30,292/8432 is 4/126480
Least Common Multiple of 30,8432 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 30,8432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,8432) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(30,8432) x common factors =2 x 1 = 2
LCM(30,8432) = ( 30 × 8432 ) / 2
LCM(30,8432) = 252960 / 2
LCM(30,8432) = 126480
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FAQs on GCF of Fractions of 476/30, 292/8432
1. What is the HCF of 476,292?
The HCF of 476,292 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 476/30, 292/8432?
Answer: GCF of Numerators as per given numbers 476/30, 292/8432 is
GCF of Numerators i.e. for 476,292 is 4
LCM of denominators i.e. for 30,8432 is 126480.
Thus, GCF of Fractions is 4/126480.Finally, GCF of Fractions for 476/30, 292/8432 is 4/126480.