GCF of 4548/364, 8156/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4548/364, 8156/211 i.e 4/76804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4548/364, 8156/211.
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 4548/364,8156/211?
Given fractions are 4548/364,8156/211
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 4548/364,8156/211, numerators are 4548,8156
Denominators are 364,211
The GCF of 4548,8156 is 4 .
LCM of 364,211 is 76804.
The greatest common factor of 4548/364,8156/211 = [GCF of 4548,8156]/[LCM of 364,211]= 4/76804
Therefore, the GCF of 4548/364,8156/211 is 4/76804.
To find the highest common factor of 4548,8156, we have to find the factors of both numbers and list the highest common factor.
The factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548
The factors of 8156 are 1, 2, 4, 2039, 4078, 8156
The HCF of 4548,8156 is 4.
Lets's calculate GCF of 4548,8156
| 2 | 4548, 8156 |
| 2 | 2274, 4078 |
| 1137, 2039 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4548,8156 By Matching Biggest Common Factor Method
Now, list down the factors of 4548
:1,2,3,4,6,12,379,758,1137,1516,2274,4548
Now, list down the factors of 8156
:1,2,4,2039,4078,8156
Greatest Common Factor
We found the factors 4548,8156 . The biggest common factor number is the GCF number.
So the greatest common factor 4548,8156 is 4.
Lets's calculate LCM of 364,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 76804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/76804
Therefore, the GCF of Fractions 4548/364,8156/211 is 4/76804
Least Common Multiple of 364,211 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 364,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,211) x common factors =1 x 1 = 1
LCM(364,211) = ( 364 × 211 ) / 1
LCM(364,211) = 76804 / 1
LCM(364,211) = 76804
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FAQs on GCF of Fractions of 4548/364, 8156/211
1. What is the HCF of 4548,8156?
The HCF of 4548,8156 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 4548/364, 8156/211?
Answer: GCF of Numerators as per given numbers 4548/364, 8156/211 is
GCF of Numerators i.e. for 4548,8156 is 4
LCM of denominators i.e. for 364,211 is 76804.
Thus, GCF of Fractions is 4/76804.Finally, GCF of Fractions for 4548/364, 8156/211 is 4/76804.