GCF of 50/918, 238/986, 432/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 50/918, 238/986, 432/900 i.e 2/1331100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/918, 238/986, 432/900.
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 50/918,238/986,432/900?
Given fractions are 50/918,238/986,432/900
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 50/918,238/986,432/900, numerators are 50,238,432
Denominators are 918,986,900
The GCF of 50,238,432 is 2 .
LCM of 918,986,900 is 1331100.
The greatest common factor of 50/918,238/986,432/900 = [GCF of 50,238,432]/[LCM of 918,986,900]= 2/1331100
Therefore, the GCF of 50/918,238/986,432/900 is 2/1331100.
To find the highest common factor of 50,238,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 50,238,432 is 2.
Lets's calculate GCF of 50,238,432
| 2 | 50, 238, 432 |
| 25, 119, 216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 50,238,432 By Matching Biggest Common Factor Method
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 50,238,432 . The biggest common factor number is the GCF number.
So the greatest common factor 50,238,432 is 2.
Lets's calculate LCM of 918,986,900
| 2 | 918, 986, 900 |
| 3 | 459, 493, 450 |
| 3 | 153, 493, 150 |
| 17 | 51, 493, 50 |
| 3, 29, 50 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 3 x 29 x 50 = 1331100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1331100
Therefore, the GCF of Fractions 50/918,238/986,432/900 is 2/1331100
Least Common Multiple of 918,986,900 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 918,986,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(918,986,900) = 2
common factors(in case of two or more numbers have common factors) = 306
GCF(918,986,900) x common factors =2 x 306 = 612
LCM(918,986,900) = ( 918 × 986 × 900 ) / 612
LCM(918,986,900) = 814633200 / 612
LCM(918,986,900) = 1331100
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 50/918, 238/986, 432/900
1. What is the HCF of 50,238,432?
The HCF of 50,238,432 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 50/918, 238/986, 432/900?
Answer: GCF of Numerators as per given numbers 50/918, 238/986, 432/900 is
GCF of Numerators i.e. for 50,238,432 is 2
LCM of denominators i.e. for 918,986,900 is 1331100.
Thus, GCF of Fractions is 2/1331100.Finally, GCF of Fractions for 50/918, 238/986, 432/900 is 2/1331100.