GCF of 1868/435, 2277/1888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1868/435, 2277/1888 i.e 1/821280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1868/435, 2277/1888.
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 1868/435,2277/1888?
Given fractions are 1868/435,2277/1888
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 1868/435,2277/1888, numerators are 1868,2277
Denominators are 435,1888
The GCF of 1868,2277 is 1 .
LCM of 435,1888 is 821280.
The greatest common factor of 1868/435,2277/1888 = [GCF of 1868,2277]/[LCM of 435,1888]= 1/821280
Therefore, the GCF of 1868/435,2277/1888 is 1/821280.
To find the highest common factor of 1868,2277, we have to find the factors of both numbers and list the highest common factor.
The factors of 1868 are 1, 2, 4, 467, 934, 1868
The factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277
The HCF of 1868,2277 is 1.
Lets's calculate GCF of 1868,2277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1868,2277 By Matching Biggest Common Factor Method
Now, list down the factors of 1868
:1,2,4,467,934,1868
Now, list down the factors of 2277
:1,3,9,11,23,33,69,99,207,253,759,2277
Greatest Common Factor
We found the factors 1868,2277 . The biggest common factor number is the GCF number.
So the greatest common factor 1868,2277 is 1.
Lets's calculate LCM of 435,1888
Given numbers has no common factors except 1. So, there LCM is their product i.e 821280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/821280
Therefore, the GCF of Fractions 1868/435,2277/1888 is 1/821280
Least Common Multiple of 435,1888 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 435,1888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,1888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(435,1888) x common factors =1 x 1 = 1
LCM(435,1888) = ( 435 × 1888 ) / 1
LCM(435,1888) = 821280 / 1
LCM(435,1888) = 821280
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FAQs on GCF of Fractions of 1868/435, 2277/1888
1. What is the HCF of 1868,2277?
The HCF of 1868,2277 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 1868/435, 2277/1888?
Answer: GCF of Numerators as per given numbers 1868/435, 2277/1888 is
GCF of Numerators i.e. for 1868,2277 is 1
LCM of denominators i.e. for 435,1888 is 821280.
Thus, GCF of Fractions is 1/821280.Finally, GCF of Fractions for 1868/435, 2277/1888 is 1/821280.