GCF of 2283/370, 1862/8613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2283/370, 1862/8613 i.e 1/3186810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2283/370, 1862/8613.
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 2283/370,1862/8613?
Given fractions are 2283/370,1862/8613
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 2283/370,1862/8613, numerators are 2283,1862
Denominators are 370,8613
The GCF of 2283,1862 is 1 .
LCM of 370,8613 is 3186810.
The greatest common factor of 2283/370,1862/8613 = [GCF of 2283,1862]/[LCM of 370,8613]= 1/3186810
Therefore, the GCF of 2283/370,1862/8613 is 1/3186810.
To find the highest common factor of 2283,1862, we have to find the factors of both numbers and list the highest common factor.
The factors of 2283 are 1, 3, 761, 2283
The factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862
The HCF of 2283,1862 is 1.
Lets's calculate GCF of 2283,1862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2283,1862 By Matching Biggest Common Factor Method
Now, list down the factors of 2283
:1,3,761,2283
Now, list down the factors of 1862
:1,2,7,14,19,38,49,98,133,266,931,1862
Greatest Common Factor
We found the factors 2283,1862 . The biggest common factor number is the GCF number.
So the greatest common factor 2283,1862 is 1.
Lets's calculate LCM of 370,8613
Given numbers has no common factors except 1. So, there LCM is their product i.e 3186810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3186810
Therefore, the GCF of Fractions 2283/370,1862/8613 is 1/3186810
Least Common Multiple of 370,8613 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 370,8613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,8613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,8613) x common factors =1 x 1 = 1
LCM(370,8613) = ( 370 × 8613 ) / 1
LCM(370,8613) = 3186810 / 1
LCM(370,8613) = 3186810
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2283/370, 1862/8613
1. What is the HCF of 2283,1862?
The HCF of 2283,1862 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 2283/370, 1862/8613?
Answer: GCF of Numerators as per given numbers 2283/370, 1862/8613 is
GCF of Numerators i.e. for 2283,1862 is 1
LCM of denominators i.e. for 370,8613 is 3186810.
Thus, GCF of Fractions is 1/3186810.Finally, GCF of Fractions for 2283/370, 1862/8613 is 1/3186810.