GCF of 3884/249, 3377/7737
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3884/249, 3377/7737 i.e 1/642171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3884/249, 3377/7737.
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 3884/249,3377/7737?
Given fractions are 3884/249,3377/7737
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 3884/249,3377/7737, numerators are 3884,3377
Denominators are 249,7737
The GCF of 3884,3377 is 1 .
LCM of 249,7737 is 642171.
The greatest common factor of 3884/249,3377/7737 = [GCF of 3884,3377]/[LCM of 249,7737]= 1/642171
Therefore, the GCF of 3884/249,3377/7737 is 1/642171.
To find the highest common factor of 3884,3377, we have to find the factors of both numbers and list the highest common factor.
The factors of 3884 are 1, 2, 4, 971, 1942, 3884
The factors of 3377 are 1, 11, 307, 3377
The HCF of 3884,3377 is 1.
Lets's calculate GCF of 3884,3377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3884,3377 By Matching Biggest Common Factor Method
Now, list down the factors of 3884
:1,2,4,971,1942,3884
Now, list down the factors of 3377
:1,11,307,3377
Greatest Common Factor
We found the factors 3884,3377 . The biggest common factor number is the GCF number.
So the greatest common factor 3884,3377 is 1.
Lets's calculate LCM of 249,7737
| 3 | 249, 7737 |
| 83, 2579 |
∴ So the LCM of the given numbers is 3 x 83 x 2579 = 642171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642171
Therefore, the GCF of Fractions 3884/249,3377/7737 is 1/642171
Least Common Multiple of 249,7737 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 249,7737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,7737) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,7737) x common factors =3 x 1 = 3
LCM(249,7737) = ( 249 × 7737 ) / 3
LCM(249,7737) = 1926513 / 3
LCM(249,7737) = 642171
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FAQs on GCF of Fractions of 3884/249, 3377/7737
1. What is the HCF of 3884,3377?
The HCF of 3884,3377 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 3884/249, 3377/7737?
Answer: GCF of Numerators as per given numbers 3884/249, 3377/7737 is
GCF of Numerators i.e. for 3884,3377 is 1
LCM of denominators i.e. for 249,7737 is 642171.
Thus, GCF of Fractions is 1/642171.Finally, GCF of Fractions for 3884/249, 3377/7737 is 1/642171.