GCF of 3782/149, 6634/2971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3782/149, 6634/2971 i.e 62/442679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3782/149, 6634/2971.
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 3782/149,6634/2971?
Given fractions are 3782/149,6634/2971
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 3782/149,6634/2971, numerators are 3782,6634
Denominators are 149,2971
The GCF of 3782,6634 is 62 .
LCM of 149,2971 is 442679.
The greatest common factor of 3782/149,6634/2971 = [GCF of 3782,6634]/[LCM of 149,2971]= 62/442679
Therefore, the GCF of 3782/149,6634/2971 is 62/442679.
To find the highest common factor of 3782,6634, we have to find the factors of both numbers and list the highest common factor.
The factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782
The factors of 6634 are 1, 2, 31, 62, 107, 214, 3317, 6634
The HCF of 3782,6634 is 62.
Lets's calculate GCF of 3782,6634
| 2 | 3782, 6634 |
| 31 | 1891, 3317 |
| 61, 107 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 3782,6634 By Matching Biggest Common Factor Method
Now, list down the factors of 3782
:1,2,31,61,62,122,1891,3782
Now, list down the factors of 6634
:1,2,31,62,107,214,3317,6634
Greatest Common Factor
We found the factors 3782,6634 . The biggest common factor number is the GCF number.
So the greatest common factor 3782,6634 is 62.
Lets's calculate LCM of 149,2971
Given numbers has no common factors except 1. So, there LCM is their product i.e 442679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/442679
Therefore, the GCF of Fractions 3782/149,6634/2971 is 62/442679
Least Common Multiple of 149,2971 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 149,2971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,2971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,2971) x common factors =1 x 1 = 1
LCM(149,2971) = ( 149 × 2971 ) / 1
LCM(149,2971) = 442679 / 1
LCM(149,2971) = 442679
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FAQs on GCF of Fractions of 3782/149, 6634/2971
1. What is the HCF of 3782,6634?
The HCF of 3782,6634 is 62
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 3782/149, 6634/2971?
Answer: GCF of Numerators as per given numbers 3782/149, 6634/2971 is
GCF of Numerators i.e. for 3782,6634 is 62
LCM of denominators i.e. for 149,2971 is 442679.
Thus, GCF of Fractions is 62/442679.Finally, GCF of Fractions for 3782/149, 6634/2971 is 62/442679.