GCF of 35/63, 514/31, 639/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/63, 514/31, 639/412 i.e 1/804636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/63, 514/31, 639/412.
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 35/63,514/31,639/412?
Given fractions are 35/63,514/31,639/412
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 35/63,514/31,639/412, numerators are 35,514,639
Denominators are 63,31,412
The GCF of 35,514,639 is 1 .
LCM of 63,31,412 is 804636.
The greatest common factor of 35/63,514/31,639/412 = [GCF of 35,514,639]/[LCM of 63,31,412]= 1/804636
Therefore, the GCF of 35/63,514/31,639/412 is 1/804636.
To find the highest common factor of 35,514,639, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 514 are 1, 2, 257, 514
The factors of 639 are 1, 3, 9, 71, 213, 639
The HCF of 35,514,639 is 1.
Lets's calculate GCF of 35,514,639
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,514,639 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 514
:1,2,257,514
Now, list down the factors of 639
:1,3,9,71,213,639
Greatest Common Factor
We found the factors 35,514,639 . The biggest common factor number is the GCF number.
So the greatest common factor 35,514,639 is 1.
Lets's calculate LCM of 63,31,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 804636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804636
Therefore, the GCF of Fractions 35/63,514/31,639/412 is 1/804636
Least Common Multiple of 63,31,412 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 63,31,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,31,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,31,412) x common factors =1 x 1 = 1
LCM(63,31,412) = ( 63 × 31 × 412 ) / 1
LCM(63,31,412) = 804636 / 1
LCM(63,31,412) = 804636
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FAQs on GCF of Fractions of 35/63, 514/31, 639/412
1. What is the HCF of 35,514,639?
The HCF of 35,514,639 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 35/63, 514/31, 639/412?
Answer: GCF of Numerators as per given numbers 35/63, 514/31, 639/412 is
GCF of Numerators i.e. for 35,514,639 is 1
LCM of denominators i.e. for 63,31,412 is 804636.
Thus, GCF of Fractions is 1/804636.Finally, GCF of Fractions for 35/63, 514/31, 639/412 is 1/804636.