GCF of 503/902, 346/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 503/902, 346/705 i.e 1/635910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 503/902, 346/705.
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 503/902,346/705?
Given fractions are 503/902,346/705
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 503/902,346/705, numerators are 503,346
Denominators are 902,705
The GCF of 503,346 is 1 .
LCM of 902,705 is 635910.
The greatest common factor of 503/902,346/705 = [GCF of 503,346]/[LCM of 902,705]= 1/635910
Therefore, the GCF of 503/902,346/705 is 1/635910.
To find the highest common factor of 503,346, we have to find the factors of both numbers and list the highest common factor.
The factors of 503 are 1, 503
The factors of 346 are 1, 2, 173, 346
The HCF of 503,346 is 1.
Lets's calculate GCF of 503,346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 503,346 By Matching Biggest Common Factor Method
Now, list down the factors of 503
:1,503
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 503,346 . The biggest common factor number is the GCF number.
So the greatest common factor 503,346 is 1.
Lets's calculate LCM of 902,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 635910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/635910
Therefore, the GCF of Fractions 503/902,346/705 is 1/635910
Least Common Multiple of 902,705 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 902,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,705) x common factors =1 x 1 = 1
LCM(902,705) = ( 902 × 705 ) / 1
LCM(902,705) = 635910 / 1
LCM(902,705) = 635910
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 503/902, 346/705
1. What is the HCF of 503,346?
The HCF of 503,346 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 503/902, 346/705?
Answer: GCF of Numerators as per given numbers 503/902, 346/705 is
GCF of Numerators i.e. for 503,346 is 1
LCM of denominators i.e. for 902,705 is 635910.
Thus, GCF of Fractions is 1/635910.Finally, GCF of Fractions for 503/902, 346/705 is 1/635910.