GCF of 3308/349, 8752/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3308/349, 8752/852 i.e 4/297348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3308/349, 8752/852.
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 3308/349,8752/852?
Given fractions are 3308/349,8752/852
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 3308/349,8752/852, numerators are 3308,8752
Denominators are 349,852
The GCF of 3308,8752 is 4 .
LCM of 349,852 is 297348.
The greatest common factor of 3308/349,8752/852 = [GCF of 3308,8752]/[LCM of 349,852]= 4/297348
Therefore, the GCF of 3308/349,8752/852 is 4/297348.
To find the highest common factor of 3308,8752, we have to find the factors of both numbers and list the highest common factor.
The factors of 3308 are 1, 2, 4, 827, 1654, 3308
The factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752
The HCF of 3308,8752 is 4.
Lets's calculate GCF of 3308,8752
| 2 | 3308, 8752 |
| 2 | 1654, 4376 |
| 827, 2188 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3308,8752 By Matching Biggest Common Factor Method
Now, list down the factors of 3308
:1,2,4,827,1654,3308
Now, list down the factors of 8752
:1,2,4,8,16,547,1094,2188,4376,8752
Greatest Common Factor
We found the factors 3308,8752 . The biggest common factor number is the GCF number.
So the greatest common factor 3308,8752 is 4.
Lets's calculate LCM of 349,852
Given numbers has no common factors except 1. So, there LCM is their product i.e 297348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/297348
Therefore, the GCF of Fractions 3308/349,8752/852 is 4/297348
Least Common Multiple of 349,852 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 349,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,852) x common factors =1 x 1 = 1
LCM(349,852) = ( 349 × 852 ) / 1
LCM(349,852) = 297348 / 1
LCM(349,852) = 297348
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FAQs on GCF of Fractions of 3308/349, 8752/852
1. What is the HCF of 3308,8752?
The HCF of 3308,8752 is 4
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 3308/349, 8752/852?
Answer: GCF of Numerators as per given numbers 3308/349, 8752/852 is
GCF of Numerators i.e. for 3308,8752 is 4
LCM of denominators i.e. for 349,852 is 297348.
Thus, GCF of Fractions is 4/297348.Finally, GCF of Fractions for 3308/349, 8752/852 is 4/297348.