GCF of 512/148, 7895/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 512/148, 7895/206 i.e 1/15244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 512/148, 7895/206.
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 512/148,7895/206?
Given fractions are 512/148,7895/206
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 512/148,7895/206, numerators are 512,7895
Denominators are 148,206
The GCF of 512,7895 is 1 .
LCM of 148,206 is 15244.
The greatest common factor of 512/148,7895/206 = [GCF of 512,7895]/[LCM of 148,206]= 1/15244
Therefore, the GCF of 512/148,7895/206 is 1/15244.
To find the highest common factor of 512,7895, we have to find the factors of both numbers and list the highest common factor.
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The factors of 7895 are 1, 5, 1579, 7895
The HCF of 512,7895 is 1.
Lets's calculate GCF of 512,7895
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 512,7895 By Matching Biggest Common Factor Method
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Now, list down the factors of 7895
:1,5,1579,7895
Greatest Common Factor
We found the factors 512,7895 . The biggest common factor number is the GCF number.
So the greatest common factor 512,7895 is 1.
Lets's calculate LCM of 148,206
| 2 | 148, 206 |
| 74, 103 |
∴ So the LCM of the given numbers is 2 x 74 x 103 = 15244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15244
Therefore, the GCF of Fractions 512/148,7895/206 is 1/15244
Least Common Multiple of 148,206 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 148,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(148,206) x common factors =2 x 1 = 2
LCM(148,206) = ( 148 × 206 ) / 2
LCM(148,206) = 30488 / 2
LCM(148,206) = 15244
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FAQs on GCF of Fractions of 512/148, 7895/206
1. What is the HCF of 512,7895?
The HCF of 512,7895 is 1
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 512/148, 7895/206?
Answer: GCF of Numerators as per given numbers 512/148, 7895/206 is
GCF of Numerators i.e. for 512,7895 is 1
LCM of denominators i.e. for 148,206 is 15244.
Thus, GCF of Fractions is 1/15244.Finally, GCF of Fractions for 512/148, 7895/206 is 1/15244.