GCF of 703/349, 213/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 703/349, 213/415 i.e 1/144835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 703/349, 213/415.
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 703/349,213/415?
Given fractions are 703/349,213/415
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 703/349,213/415, numerators are 703,213
Denominators are 349,415
The GCF of 703,213 is 1 .
LCM of 349,415 is 144835.
The greatest common factor of 703/349,213/415 = [GCF of 703,213]/[LCM of 349,415]= 1/144835
Therefore, the GCF of 703/349,213/415 is 1/144835.
To find the highest common factor of 703,213, we have to find the factors of both numbers and list the highest common factor.
The factors of 703 are 1, 19, 37, 703
The factors of 213 are 1, 3, 71, 213
The HCF of 703,213 is 1.
Lets's calculate GCF of 703,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 703,213 By Matching Biggest Common Factor Method
Now, list down the factors of 703
:1,19,37,703
Now, list down the factors of 213
:1,3,71,213
Greatest Common Factor
We found the factors 703,213 . The biggest common factor number is the GCF number.
So the greatest common factor 703,213 is 1.
Lets's calculate LCM of 349,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 144835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144835
Therefore, the GCF of Fractions 703/349,213/415 is 1/144835
Least Common Multiple of 349,415 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 349,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,415) x common factors =1 x 1 = 1
LCM(349,415) = ( 349 × 415 ) / 1
LCM(349,415) = 144835 / 1
LCM(349,415) = 144835
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FAQs on GCF of Fractions of 703/349, 213/415
1. What is the HCF of 703,213?
The HCF of 703,213 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 703/349, 213/415?
Answer: GCF of Numerators as per given numbers 703/349, 213/415 is
GCF of Numerators i.e. for 703,213 is 1
LCM of denominators i.e. for 349,415 is 144835.
Thus, GCF of Fractions is 1/144835.Finally, GCF of Fractions for 703/349, 213/415 is 1/144835.