GCF of 43/651, 88/913, 637/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/651, 88/913, 637/721 i.e 1/61219389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/651, 88/913, 637/721.
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 43/651,88/913,637/721?
Given fractions are 43/651,88/913,637/721
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 43/651,88/913,637/721, numerators are 43,88,637
Denominators are 651,913,721
The GCF of 43,88,637 is 1 .
LCM of 651,913,721 is 61219389.
The greatest common factor of 43/651,88/913,637/721 = [GCF of 43,88,637]/[LCM of 651,913,721]= 1/61219389
Therefore, the GCF of 43/651,88/913,637/721 is 1/61219389.
To find the highest common factor of 43,88,637, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 637 are 1, 7, 13, 49, 91, 637
The HCF of 43,88,637 is 1.
Lets's calculate GCF of 43,88,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,88,637 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 637
:1,7,13,49,91,637
Greatest Common Factor
We found the factors 43,88,637 . The biggest common factor number is the GCF number.
So the greatest common factor 43,88,637 is 1.
Lets's calculate LCM of 651,913,721
| 7 | 651, 913, 721 |
| 93, 913, 103 |
∴ So the LCM of the given numbers is 7 x 93 x 913 x 103 = 61219389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61219389
Therefore, the GCF of Fractions 43/651,88/913,637/721 is 1/61219389
Least Common Multiple of 651,913,721 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 651,913,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,913,721) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(651,913,721) x common factors =1 x 7 = 7
LCM(651,913,721) = ( 651 × 913 × 721 ) / 7
LCM(651,913,721) = 428535723 / 7
LCM(651,913,721) = 61219389
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FAQs on GCF of Fractions of 43/651, 88/913, 637/721
1. What is the HCF of 43,88,637?
The HCF of 43,88,637 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 43/651, 88/913, 637/721?
Answer: GCF of Numerators as per given numbers 43/651, 88/913, 637/721 is
GCF of Numerators i.e. for 43,88,637 is 1
LCM of denominators i.e. for 651,913,721 is 61219389.
Thus, GCF of Fractions is 1/61219389.Finally, GCF of Fractions for 43/651, 88/913, 637/721 is 1/61219389.