GCF of 189/757, 1949/7029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 189/757, 1949/7029 i.e 1/5320953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 189/757, 1949/7029.
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 189/757,1949/7029?
Given fractions are 189/757,1949/7029
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 189/757,1949/7029, numerators are 189,1949
Denominators are 757,7029
The GCF of 189,1949 is 1 .
LCM of 757,7029 is 5320953.
The greatest common factor of 189/757,1949/7029 = [GCF of 189,1949]/[LCM of 757,7029]= 1/5320953
Therefore, the GCF of 189/757,1949/7029 is 1/5320953.
To find the highest common factor of 189,1949, we have to find the factors of both numbers and list the highest common factor.
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The factors of 1949 are 1, 1949
The HCF of 189,1949 is 1.
Lets's calculate GCF of 189,1949
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 189,1949 By Matching Biggest Common Factor Method
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Now, list down the factors of 1949
:1,1949
Greatest Common Factor
We found the factors 189,1949 . The biggest common factor number is the GCF number.
So the greatest common factor 189,1949 is 1.
Lets's calculate LCM of 757,7029
Given numbers has no common factors except 1. So, there LCM is their product i.e 5320953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5320953
Therefore, the GCF of Fractions 189/757,1949/7029 is 1/5320953
Least Common Multiple of 757,7029 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 757,7029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,7029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,7029) x common factors =1 x 1 = 1
LCM(757,7029) = ( 757 × 7029 ) / 1
LCM(757,7029) = 5320953 / 1
LCM(757,7029) = 5320953
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FAQs on GCF of Fractions of 189/757, 1949/7029
1. What is the HCF of 189,1949?
The HCF of 189,1949 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 189/757, 1949/7029?
Answer: GCF of Numerators as per given numbers 189/757, 1949/7029 is
GCF of Numerators i.e. for 189,1949 is 1
LCM of denominators i.e. for 757,7029 is 5320953.
Thus, GCF of Fractions is 1/5320953.Finally, GCF of Fractions for 189/757, 1949/7029 is 1/5320953.