GCF of 356/441, 8956/620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 356/441, 8956/620 i.e 4/273420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/441, 8956/620.
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 356/441,8956/620?
Given fractions are 356/441,8956/620
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 356/441,8956/620, numerators are 356,8956
Denominators are 441,620
The GCF of 356,8956 is 4 .
LCM of 441,620 is 273420.
The greatest common factor of 356/441,8956/620 = [GCF of 356,8956]/[LCM of 441,620]= 4/273420
Therefore, the GCF of 356/441,8956/620 is 4/273420.
To find the highest common factor of 356,8956, we have to find the factors of both numbers and list the highest common factor.
The factors of 356 are 1, 2, 4, 89, 178, 356
The factors of 8956 are 1, 2, 4, 2239, 4478, 8956
The HCF of 356,8956 is 4.
Lets's calculate GCF of 356,8956
| 2 | 356, 8956 |
| 2 | 178, 4478 |
| 89, 2239 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 356,8956 By Matching Biggest Common Factor Method
Now, list down the factors of 356
:1,2,4,89,178,356
Now, list down the factors of 8956
:1,2,4,2239,4478,8956
Greatest Common Factor
We found the factors 356,8956 . The biggest common factor number is the GCF number.
So the greatest common factor 356,8956 is 4.
Lets's calculate LCM of 441,620
Given numbers has no common factors except 1. So, there LCM is their product i.e 273420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/273420
Therefore, the GCF of Fractions 356/441,8956/620 is 4/273420
Least Common Multiple of 441,620 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 441,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,620) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,620) x common factors =1 x 1 = 1
LCM(441,620) = ( 441 × 620 ) / 1
LCM(441,620) = 273420 / 1
LCM(441,620) = 273420
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FAQs on GCF of Fractions of 356/441, 8956/620
1. What is the HCF of 356,8956?
The HCF of 356,8956 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 356/441, 8956/620?
Answer: GCF of Numerators as per given numbers 356/441, 8956/620 is
GCF of Numerators i.e. for 356,8956 is 4
LCM of denominators i.e. for 441,620 is 273420.
Thus, GCF of Fractions is 4/273420.Finally, GCF of Fractions for 356/441, 8956/620 is 4/273420.