GCF of 8779/887, 1669/1675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8779/887, 1669/1675 i.e 1/1485725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8779/887, 1669/1675.
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 8779/887,1669/1675?
Given fractions are 8779/887,1669/1675
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 8779/887,1669/1675, numerators are 8779,1669
Denominators are 887,1675
The GCF of 8779,1669 is 1 .
LCM of 887,1675 is 1485725.
The greatest common factor of 8779/887,1669/1675 = [GCF of 8779,1669]/[LCM of 887,1675]= 1/1485725
Therefore, the GCF of 8779/887,1669/1675 is 1/1485725.
To find the highest common factor of 8779,1669, we have to find the factors of both numbers and list the highest common factor.
The factors of 8779 are 1, 8779
The factors of 1669 are 1, 1669
The HCF of 8779,1669 is 1.
Lets's calculate GCF of 8779,1669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8779,1669 By Matching Biggest Common Factor Method
Now, list down the factors of 8779
:1,8779
Now, list down the factors of 1669
:1,1669
Greatest Common Factor
We found the factors 8779,1669 . The biggest common factor number is the GCF number.
So the greatest common factor 8779,1669 is 1.
Lets's calculate LCM of 887,1675
Given numbers has no common factors except 1. So, there LCM is their product i.e 1485725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1485725
Therefore, the GCF of Fractions 8779/887,1669/1675 is 1/1485725
Least Common Multiple of 887,1675 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 887,1675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,1675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,1675) x common factors =1 x 1 = 1
LCM(887,1675) = ( 887 × 1675 ) / 1
LCM(887,1675) = 1485725 / 1
LCM(887,1675) = 1485725
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FAQs on GCF of Fractions of 8779/887, 1669/1675
1. What is the HCF of 8779,1669?
The HCF of 8779,1669 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 8779/887, 1669/1675?
Answer: GCF of Numerators as per given numbers 8779/887, 1669/1675 is
GCF of Numerators i.e. for 8779,1669 is 1
LCM of denominators i.e. for 887,1675 is 1485725.
Thus, GCF of Fractions is 1/1485725.Finally, GCF of Fractions for 8779/887, 1669/1675 is 1/1485725.