GCF of 7469/277, 1639/4149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7469/277, 1639/4149 i.e 11/1149273 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7469/277, 1639/4149.
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 7469/277,1639/4149?
Given fractions are 7469/277,1639/4149
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 7469/277,1639/4149, numerators are 7469,1639
Denominators are 277,4149
The GCF of 7469,1639 is 11 .
LCM of 277,4149 is 1149273.
The greatest common factor of 7469/277,1639/4149 = [GCF of 7469,1639]/[LCM of 277,4149]= 11/1149273
Therefore, the GCF of 7469/277,1639/4149 is 11/1149273.
To find the highest common factor of 7469,1639, we have to find the factors of both numbers and list the highest common factor.
The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469
The factors of 1639 are 1, 11, 149, 1639
The HCF of 7469,1639 is 11.
Lets's calculate GCF of 7469,1639
| 11 | 7469, 1639 |
| 679, 149 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7469,1639 By Matching Biggest Common Factor Method
Now, list down the factors of 7469
:1,7,11,77,97,679,1067,7469
Now, list down the factors of 1639
:1,11,149,1639
Greatest Common Factor
We found the factors 7469,1639 . The biggest common factor number is the GCF number.
So the greatest common factor 7469,1639 is 11.
Lets's calculate LCM of 277,4149
Given numbers has no common factors except 1. So, there LCM is their product i.e 1149273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1149273
Therefore, the GCF of Fractions 7469/277,1639/4149 is 11/1149273
Least Common Multiple of 277,4149 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 277,4149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,4149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,4149) x common factors =1 x 1 = 1
LCM(277,4149) = ( 277 × 4149 ) / 1
LCM(277,4149) = 1149273 / 1
LCM(277,4149) = 1149273
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FAQs on GCF of Fractions of 7469/277, 1639/4149
1. What is the HCF of 7469,1639?
The HCF of 7469,1639 is 11
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 7469/277, 1639/4149?
Answer: GCF of Numerators as per given numbers 7469/277, 1639/4149 is
GCF of Numerators i.e. for 7469,1639 is 11
LCM of denominators i.e. for 277,4149 is 1149273.
Thus, GCF of Fractions is 11/1149273.Finally, GCF of Fractions for 7469/277, 1639/4149 is 11/1149273.