GCF of 3776/911, 1442/5032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3776/911, 1442/5032 i.e 2/4584152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3776/911, 1442/5032.
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 3776/911,1442/5032?
Given fractions are 3776/911,1442/5032
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 3776/911,1442/5032, numerators are 3776,1442
Denominators are 911,5032
The GCF of 3776,1442 is 2 .
LCM of 911,5032 is 4584152.
The greatest common factor of 3776/911,1442/5032 = [GCF of 3776,1442]/[LCM of 911,5032]= 2/4584152
Therefore, the GCF of 3776/911,1442/5032 is 2/4584152.
To find the highest common factor of 3776,1442, we have to find the factors of both numbers and list the highest common factor.
The factors of 3776 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776
The factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442
The HCF of 3776,1442 is 2.
Lets's calculate GCF of 3776,1442
| 2 | 3776, 1442 |
| 1888, 721 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3776,1442 By Matching Biggest Common Factor Method
Now, list down the factors of 3776
:1,2,4,8,16,32,59,64,118,236,472,944,1888,3776
Now, list down the factors of 1442
:1,2,7,14,103,206,721,1442
Greatest Common Factor
We found the factors 3776,1442 . The biggest common factor number is the GCF number.
So the greatest common factor 3776,1442 is 2.
Lets's calculate LCM of 911,5032
Given numbers has no common factors except 1. So, there LCM is their product i.e 4584152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4584152
Therefore, the GCF of Fractions 3776/911,1442/5032 is 2/4584152
Least Common Multiple of 911,5032 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 911,5032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,5032) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,5032) x common factors =1 x 1 = 1
LCM(911,5032) = ( 911 × 5032 ) / 1
LCM(911,5032) = 4584152 / 1
LCM(911,5032) = 4584152
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FAQs on GCF of Fractions of 3776/911, 1442/5032
1. What is the HCF of 3776,1442?
The HCF of 3776,1442 is 2
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 3776/911, 1442/5032?
Answer: GCF of Numerators as per given numbers 3776/911, 1442/5032 is
GCF of Numerators i.e. for 3776,1442 is 2
LCM of denominators i.e. for 911,5032 is 4584152.
Thus, GCF of Fractions is 2/4584152.Finally, GCF of Fractions for 3776/911, 1442/5032 is 2/4584152.