GCF of 39/643, 577/278, 907/681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/643, 577/278, 907/681 i.e 1/121731474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/643, 577/278, 907/681.
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 39/643,577/278,907/681?
Given fractions are 39/643,577/278,907/681
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 39/643,577/278,907/681, numerators are 39,577,907
Denominators are 643,278,681
The GCF of 39,577,907 is 1 .
LCM of 643,278,681 is 121731474.
The greatest common factor of 39/643,577/278,907/681 = [GCF of 39,577,907]/[LCM of 643,278,681]= 1/121731474
Therefore, the GCF of 39/643,577/278,907/681 is 1/121731474.
To find the highest common factor of 39,577,907, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 577 are 1, 577
The factors of 907 are 1, 907
The HCF of 39,577,907 is 1.
Lets's calculate GCF of 39,577,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,577,907 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 577
:1,577
Now, list down the factors of 907
:1,907
Greatest Common Factor
We found the factors 39,577,907 . The biggest common factor number is the GCF number.
So the greatest common factor 39,577,907 is 1.
Lets's calculate LCM of 643,278,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 121731474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121731474
Therefore, the GCF of Fractions 39/643,577/278,907/681 is 1/121731474
Least Common Multiple of 643,278,681 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 643,278,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,278,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,278,681) x common factors =1 x 1 = 1
LCM(643,278,681) = ( 643 × 278 × 681 ) / 1
LCM(643,278,681) = 121731474 / 1
LCM(643,278,681) = 121731474
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FAQs on GCF of Fractions of 39/643, 577/278, 907/681
1. What is the HCF of 39,577,907?
The HCF of 39,577,907 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 39/643, 577/278, 907/681?
Answer: GCF of Numerators as per given numbers 39/643, 577/278, 907/681 is
GCF of Numerators i.e. for 39,577,907 is 1
LCM of denominators i.e. for 643,278,681 is 121731474.
Thus, GCF of Fractions is 1/121731474.Finally, GCF of Fractions for 39/643, 577/278, 907/681 is 1/121731474.