GCF of 3953/416, 4749/3628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3953/416, 4749/3628 i.e 1/377312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3953/416, 4749/3628.
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 3953/416,4749/3628?
Given fractions are 3953/416,4749/3628
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 3953/416,4749/3628, numerators are 3953,4749
Denominators are 416,3628
The GCF of 3953,4749 is 1 .
LCM of 416,3628 is 377312.
The greatest common factor of 3953/416,4749/3628 = [GCF of 3953,4749]/[LCM of 416,3628]= 1/377312
Therefore, the GCF of 3953/416,4749/3628 is 1/377312.
To find the highest common factor of 3953,4749, we have to find the factors of both numbers and list the highest common factor.
The factors of 3953 are 1, 59, 67, 3953
The factors of 4749 are 1, 3, 1583, 4749
The HCF of 3953,4749 is 1.
Lets's calculate GCF of 3953,4749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3953,4749 By Matching Biggest Common Factor Method
Now, list down the factors of 3953
:1,59,67,3953
Now, list down the factors of 4749
:1,3,1583,4749
Greatest Common Factor
We found the factors 3953,4749 . The biggest common factor number is the GCF number.
So the greatest common factor 3953,4749 is 1.
Lets's calculate LCM of 416,3628
| 2 | 416, 3628 |
| 2 | 208, 1814 |
| 104, 907 |
∴ So the LCM of the given numbers is 2 x 2 x 104 x 907 = 377312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377312
Therefore, the GCF of Fractions 3953/416,4749/3628 is 1/377312
Least Common Multiple of 416,3628 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 416,3628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,3628) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(416,3628) x common factors =4 x 1 = 4
LCM(416,3628) = ( 416 × 3628 ) / 4
LCM(416,3628) = 1509248 / 4
LCM(416,3628) = 377312
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FAQs on GCF of Fractions of 3953/416, 4749/3628
1. What is the HCF of 3953,4749?
The HCF of 3953,4749 is 1
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 3953/416, 4749/3628?
Answer: GCF of Numerators as per given numbers 3953/416, 4749/3628 is
GCF of Numerators i.e. for 3953,4749 is 1
LCM of denominators i.e. for 416,3628 is 377312.
Thus, GCF of Fractions is 1/377312.Finally, GCF of Fractions for 3953/416, 4749/3628 is 1/377312.