GCF of 4961/169, 7733/7141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4961/169, 7733/7141 i.e 11/1206829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4961/169, 7733/7141.
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 4961/169,7733/7141?
Given fractions are 4961/169,7733/7141
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 4961/169,7733/7141, numerators are 4961,7733
Denominators are 169,7141
The GCF of 4961,7733 is 11 .
LCM of 169,7141 is 1206829.
The greatest common factor of 4961/169,7733/7141 = [GCF of 4961,7733]/[LCM of 169,7141]= 11/1206829
Therefore, the GCF of 4961/169,7733/7141 is 11/1206829.
To find the highest common factor of 4961,7733, we have to find the factors of both numbers and list the highest common factor.
The factors of 4961 are 1, 11, 41, 121, 451, 4961
The factors of 7733 are 1, 11, 19, 37, 209, 407, 703, 7733
The HCF of 4961,7733 is 11.
Lets's calculate GCF of 4961,7733
| 11 | 4961, 7733 |
| 451, 703 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4961,7733 By Matching Biggest Common Factor Method
Now, list down the factors of 4961
:1,11,41,121,451,4961
Now, list down the factors of 7733
:1,11,19,37,209,407,703,7733
Greatest Common Factor
We found the factors 4961,7733 . The biggest common factor number is the GCF number.
So the greatest common factor 4961,7733 is 11.
Lets's calculate LCM of 169,7141
Given numbers has no common factors except 1. So, there LCM is their product i.e 1206829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1206829
Therefore, the GCF of Fractions 4961/169,7733/7141 is 11/1206829
Least Common Multiple of 169,7141 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 169,7141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,7141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,7141) x common factors =1 x 1 = 1
LCM(169,7141) = ( 169 × 7141 ) / 1
LCM(169,7141) = 1206829 / 1
LCM(169,7141) = 1206829
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FAQs on GCF of Fractions of 4961/169, 7733/7141
1. What is the HCF of 4961,7733?
The HCF of 4961,7733 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 4961/169, 7733/7141?
Answer: GCF of Numerators as per given numbers 4961/169, 7733/7141 is
GCF of Numerators i.e. for 4961,7733 is 11
LCM of denominators i.e. for 169,7141 is 1206829.
Thus, GCF of Fractions is 11/1206829.Finally, GCF of Fractions for 4961/169, 7733/7141 is 11/1206829.