GCF of 912/206, 288/638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 912/206, 288/638 i.e 48/65714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 912/206, 288/638.
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 912/206,288/638?
Given fractions are 912/206,288/638
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 912/206,288/638, numerators are 912,288
Denominators are 206,638
The GCF of 912,288 is 48 .
LCM of 206,638 is 65714.
The greatest common factor of 912/206,288/638 = [GCF of 912,288]/[LCM of 206,638]= 48/65714
Therefore, the GCF of 912/206,288/638 is 48/65714.
To find the highest common factor of 912,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 912 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 912,288 is 48.
Lets's calculate GCF of 912,288
| 2 | 912, 288 |
| 2 | 456, 144 |
| 2 | 228, 72 |
| 2 | 114, 36 |
| 3 | 57, 18 |
| 19, 6 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 912,288 By Matching Biggest Common Factor Method
Now, list down the factors of 912
:1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 912,288 . The biggest common factor number is the GCF number.
So the greatest common factor 912,288 is 48.
Lets's calculate LCM of 206,638
| 2 | 206, 638 |
| 103, 319 |
∴ So the LCM of the given numbers is 2 x 103 x 319 = 65714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/65714
Therefore, the GCF of Fractions 912/206,288/638 is 48/65714
Least Common Multiple of 206,638 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 206,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,638) x common factors =2 x 1 = 2
LCM(206,638) = ( 206 × 638 ) / 2
LCM(206,638) = 131428 / 2
LCM(206,638) = 65714
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FAQs on GCF of Fractions of 912/206, 288/638
1. What is the HCF of 912,288?
The HCF of 912,288 is 48
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 912/206, 288/638?
Answer: GCF of Numerators as per given numbers 912/206, 288/638 is
GCF of Numerators i.e. for 912,288 is 48
LCM of denominators i.e. for 206,638 is 65714.
Thus, GCF of Fractions is 48/65714.Finally, GCF of Fractions for 912/206, 288/638 is 48/65714.