GCF of 296/147, 3208/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 296/147, 3208/216 i.e 8/10584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 296/147, 3208/216.
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 296/147,3208/216?
Given fractions are 296/147,3208/216
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 296/147,3208/216, numerators are 296,3208
Denominators are 147,216
The GCF of 296,3208 is 8 .
LCM of 147,216 is 10584.
The greatest common factor of 296/147,3208/216 = [GCF of 296,3208]/[LCM of 147,216]= 8/10584
Therefore, the GCF of 296/147,3208/216 is 8/10584.
To find the highest common factor of 296,3208, we have to find the factors of both numbers and list the highest common factor.
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208
The HCF of 296,3208 is 8.
Lets's calculate GCF of 296,3208
| 2 | 296, 3208 |
| 2 | 148, 1604 |
| 2 | 74, 802 |
| 37, 401 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 296,3208 By Matching Biggest Common Factor Method
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Now, list down the factors of 3208
:1,2,4,8,401,802,1604,3208
Greatest Common Factor
We found the factors 296,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 296,3208 is 8.
Lets's calculate LCM of 147,216
| 3 | 147, 216 |
| 49, 72 |
∴ So the LCM of the given numbers is 3 x 49 x 72 = 10584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/10584
Therefore, the GCF of Fractions 296/147,3208/216 is 8/10584
Least Common Multiple of 147,216 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 147,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,216) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(147,216) x common factors =3 x 1 = 3
LCM(147,216) = ( 147 × 216 ) / 3
LCM(147,216) = 31752 / 3
LCM(147,216) = 10584
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FAQs on GCF of Fractions of 296/147, 3208/216
1. What is the HCF of 296,3208?
The HCF of 296,3208 is 8
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 296/147, 3208/216?
Answer: GCF of Numerators as per given numbers 296/147, 3208/216 is
GCF of Numerators i.e. for 296,3208 is 8
LCM of denominators i.e. for 147,216 is 10584.
Thus, GCF of Fractions is 8/10584.Finally, GCF of Fractions for 296/147, 3208/216 is 8/10584.