GCF of 4361/44, 1456/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4361/44, 1456/149 i.e 7/6556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4361/44, 1456/149.
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 4361/44,1456/149?
Given fractions are 4361/44,1456/149
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 4361/44,1456/149, numerators are 4361,1456
Denominators are 44,149
The GCF of 4361,1456 is 7 .
LCM of 44,149 is 6556.
The greatest common factor of 4361/44,1456/149 = [GCF of 4361,1456]/[LCM of 44,149]= 7/6556
Therefore, the GCF of 4361/44,1456/149 is 7/6556.
To find the highest common factor of 4361,1456, we have to find the factors of both numbers and list the highest common factor.
The factors of 4361 are 1, 7, 49, 89, 623, 4361
The factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456
The HCF of 4361,1456 is 7.
Lets's calculate GCF of 4361,1456
| 7 | 4361, 1456 |
| 623, 208 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4361,1456 By Matching Biggest Common Factor Method
Now, list down the factors of 4361
:1,7,49,89,623,4361
Now, list down the factors of 1456
:1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456
Greatest Common Factor
We found the factors 4361,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 4361,1456 is 7.
Lets's calculate LCM of 44,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 6556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/6556
Therefore, the GCF of Fractions 4361/44,1456/149 is 7/6556
Least Common Multiple of 44,149 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 44,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,149) x common factors =1 x 1 = 1
LCM(44,149) = ( 44 × 149 ) / 1
LCM(44,149) = 6556 / 1
LCM(44,149) = 6556
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FAQs on GCF of Fractions of 4361/44, 1456/149
1. What is the HCF of 4361,1456?
The HCF of 4361,1456 is 7
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 4361/44, 1456/149?
Answer: GCF of Numerators as per given numbers 4361/44, 1456/149 is
GCF of Numerators i.e. for 4361,1456 is 7
LCM of denominators i.e. for 44,149 is 6556.
Thus, GCF of Fractions is 7/6556.Finally, GCF of Fractions for 4361/44, 1456/149 is 7/6556.