GCF of 2883/749, 5691/495
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2883/749, 5691/495 i.e 3/370755 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2883/749, 5691/495.
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 2883/749,5691/495?
Given fractions are 2883/749,5691/495
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 2883/749,5691/495, numerators are 2883,5691
Denominators are 749,495
The GCF of 2883,5691 is 3 .
LCM of 749,495 is 370755.
The greatest common factor of 2883/749,5691/495 = [GCF of 2883,5691]/[LCM of 749,495]= 3/370755
Therefore, the GCF of 2883/749,5691/495 is 3/370755.
To find the highest common factor of 2883,5691, we have to find the factors of both numbers and list the highest common factor.
The factors of 2883 are 1, 3, 31, 93, 961, 2883
The factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691
The HCF of 2883,5691 is 3.
Lets's calculate GCF of 2883,5691
| 3 | 2883, 5691 |
| 961, 1897 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2883,5691 By Matching Biggest Common Factor Method
Now, list down the factors of 2883
:1,3,31,93,961,2883
Now, list down the factors of 5691
:1,3,7,21,271,813,1897,5691
Greatest Common Factor
We found the factors 2883,5691 . The biggest common factor number is the GCF number.
So the greatest common factor 2883,5691 is 3.
Lets's calculate LCM of 749,495
Given numbers has no common factors except 1. So, there LCM is their product i.e 370755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/370755
Therefore, the GCF of Fractions 2883/749,5691/495 is 3/370755
Least Common Multiple of 749,495 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 749,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,495) x common factors =1 x 1 = 1
LCM(749,495) = ( 749 × 495 ) / 1
LCM(749,495) = 370755 / 1
LCM(749,495) = 370755
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FAQs on GCF of Fractions of 2883/749, 5691/495
1. What is the HCF of 2883,5691?
The HCF of 2883,5691 is 3
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 2883/749, 5691/495?
Answer: GCF of Numerators as per given numbers 2883/749, 5691/495 is
GCF of Numerators i.e. for 2883,5691 is 3
LCM of denominators i.e. for 749,495 is 370755.
Thus, GCF of Fractions is 3/370755.Finally, GCF of Fractions for 2883/749, 5691/495 is 3/370755.