GCF of 9462/899, 1536/7130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9462/899, 1536/7130 i.e 6/206770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9462/899, 1536/7130.
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 9462/899,1536/7130?
Given fractions are 9462/899,1536/7130
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 9462/899,1536/7130, numerators are 9462,1536
Denominators are 899,7130
The GCF of 9462,1536 is 6 .
LCM of 899,7130 is 206770.
The greatest common factor of 9462/899,1536/7130 = [GCF of 9462,1536]/[LCM of 899,7130]= 6/206770
Therefore, the GCF of 9462/899,1536/7130 is 6/206770.
To find the highest common factor of 9462,1536, we have to find the factors of both numbers and list the highest common factor.
The factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462
The factors of 1536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536
The HCF of 9462,1536 is 6.
Lets's calculate GCF of 9462,1536
| 2 | 9462, 1536 |
| 3 | 4731, 768 |
| 1577, 256 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9462,1536 By Matching Biggest Common Factor Method
Now, list down the factors of 9462
:1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Now, list down the factors of 1536
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536
Greatest Common Factor
We found the factors 9462,1536 . The biggest common factor number is the GCF number.
So the greatest common factor 9462,1536 is 6.
Lets's calculate LCM of 899,7130
| 31 | 899, 7130 |
| 29, 230 |
∴ So the LCM of the given numbers is 31 x 29 x 230 = 206770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/206770
Therefore, the GCF of Fractions 9462/899,1536/7130 is 6/206770
Least Common Multiple of 899,7130 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 899,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,7130) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(899,7130) x common factors =31 x 1 = 31
LCM(899,7130) = ( 899 × 7130 ) / 31
LCM(899,7130) = 6409870 / 31
LCM(899,7130) = 206770
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FAQs on GCF of Fractions of 9462/899, 1536/7130
1. What is the HCF of 9462,1536?
The HCF of 9462,1536 is 6
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 9462/899, 1536/7130?
Answer: GCF of Numerators as per given numbers 9462/899, 1536/7130 is
GCF of Numerators i.e. for 9462,1536 is 6
LCM of denominators i.e. for 899,7130 is 206770.
Thus, GCF of Fractions is 6/206770.Finally, GCF of Fractions for 9462/899, 1536/7130 is 6/206770.