GCF of 2027/124, 9733/9754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2027/124, 9733/9754 i.e 1/604748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2027/124, 9733/9754.
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 2027/124,9733/9754?
Given fractions are 2027/124,9733/9754
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 2027/124,9733/9754, numerators are 2027,9733
Denominators are 124,9754
The GCF of 2027,9733 is 1 .
LCM of 124,9754 is 604748.
The greatest common factor of 2027/124,9733/9754 = [GCF of 2027,9733]/[LCM of 124,9754]= 1/604748
Therefore, the GCF of 2027/124,9733/9754 is 1/604748.
To find the highest common factor of 2027,9733, we have to find the factors of both numbers and list the highest common factor.
The factors of 2027 are 1, 2027
The factors of 9733 are 1, 9733
The HCF of 2027,9733 is 1.
Lets's calculate GCF of 2027,9733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2027,9733 By Matching Biggest Common Factor Method
Now, list down the factors of 2027
:1,2027
Now, list down the factors of 9733
:1,9733
Greatest Common Factor
We found the factors 2027,9733 . The biggest common factor number is the GCF number.
So the greatest common factor 2027,9733 is 1.
Lets's calculate LCM of 124,9754
| 2 | 124, 9754 |
| 62, 4877 |
∴ So the LCM of the given numbers is 2 x 62 x 4877 = 604748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604748
Therefore, the GCF of Fractions 2027/124,9733/9754 is 1/604748
Least Common Multiple of 124,9754 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 124,9754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,9754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,9754) x common factors =2 x 1 = 2
LCM(124,9754) = ( 124 × 9754 ) / 2
LCM(124,9754) = 1209496 / 2
LCM(124,9754) = 604748
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FAQs on GCF of Fractions of 2027/124, 9733/9754
1. What is the HCF of 2027,9733?
The HCF of 2027,9733 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 2027/124, 9733/9754?
Answer: GCF of Numerators as per given numbers 2027/124, 9733/9754 is
GCF of Numerators i.e. for 2027,9733 is 1
LCM of denominators i.e. for 124,9754 is 604748.
Thus, GCF of Fractions is 1/604748.Finally, GCF of Fractions for 2027/124, 9733/9754 is 1/604748.