GCF of 147/330, 714/821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 147/330, 714/821 i.e 21/270930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/330, 714/821.
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 147/330,714/821?
Given fractions are 147/330,714/821
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 147/330,714/821, numerators are 147,714
Denominators are 330,821
The GCF of 147,714 is 21 .
LCM of 330,821 is 270930.
The greatest common factor of 147/330,714/821 = [GCF of 147,714]/[LCM of 330,821]= 21/270930
Therefore, the GCF of 147/330,714/821 is 21/270930.
To find the highest common factor of 147,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 147 are 1, 3, 7, 21, 49, 147
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 147,714 is 21.
Lets's calculate GCF of 147,714
| 3 | 147, 714 |
| 7 | 49, 238 |
| 7, 34 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 147,714 By Matching Biggest Common Factor Method
Now, list down the factors of 147
:1,3,7,21,49,147
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 147,714 . The biggest common factor number is the GCF number.
So the greatest common factor 147,714 is 21.
Lets's calculate LCM of 330,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 270930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/270930
Therefore, the GCF of Fractions 147/330,714/821 is 21/270930
Least Common Multiple of 330,821 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 330,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(330,821) x common factors =1 x 1 = 1
LCM(330,821) = ( 330 × 821 ) / 1
LCM(330,821) = 270930 / 1
LCM(330,821) = 270930
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FAQs on GCF of Fractions of 147/330, 714/821
1. What is the HCF of 147,714?
The HCF of 147,714 is 21
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 147/330, 714/821?
Answer: GCF of Numerators as per given numbers 147/330, 714/821 is
GCF of Numerators i.e. for 147,714 is 21
LCM of denominators i.e. for 330,821 is 270930.
Thus, GCF of Fractions is 21/270930.Finally, GCF of Fractions for 147/330, 714/821 is 21/270930.