GCF of 129/657, 109/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 129/657, 109/741 i.e 1/162279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 129/657, 109/741.
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 129/657,109/741?
Given fractions are 129/657,109/741
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 129/657,109/741, numerators are 129,109
Denominators are 657,741
The GCF of 129,109 is 1 .
LCM of 657,741 is 162279.
The greatest common factor of 129/657,109/741 = [GCF of 129,109]/[LCM of 657,741]= 1/162279
Therefore, the GCF of 129/657,109/741 is 1/162279.
To find the highest common factor of 129,109, we have to find the factors of both numbers and list the highest common factor.
The factors of 129 are 1, 3, 43, 129
The factors of 109 are 1, 109
The HCF of 129,109 is 1.
Lets's calculate GCF of 129,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 129,109 By Matching Biggest Common Factor Method
Now, list down the factors of 129
:1,3,43,129
Now, list down the factors of 109
:1,109
Greatest Common Factor
We found the factors 129,109 . The biggest common factor number is the GCF number.
So the greatest common factor 129,109 is 1.
Lets's calculate LCM of 657,741
| 3 | 657, 741 |
| 219, 247 |
∴ So the LCM of the given numbers is 3 x 219 x 247 = 162279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162279
Therefore, the GCF of Fractions 129/657,109/741 is 1/162279
Least Common Multiple of 657,741 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 657,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,741) x common factors =3 x 1 = 3
LCM(657,741) = ( 657 × 741 ) / 3
LCM(657,741) = 486837 / 3
LCM(657,741) = 162279
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FAQs on GCF of Fractions of 129/657, 109/741
1. What is the HCF of 129,109?
The HCF of 129,109 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 129/657, 109/741?
Answer: GCF of Numerators as per given numbers 129/657, 109/741 is
GCF of Numerators i.e. for 129,109 is 1
LCM of denominators i.e. for 657,741 is 162279.
Thus, GCF of Fractions is 1/162279.Finally, GCF of Fractions for 129/657, 109/741 is 1/162279.