GCF of 4961/116, 2651/5222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4961/116, 2651/5222 i.e 11/302876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4961/116, 2651/5222.
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 4961/116,2651/5222?
Given fractions are 4961/116,2651/5222
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 4961/116,2651/5222, numerators are 4961,2651
Denominators are 116,5222
The GCF of 4961,2651 is 11 .
LCM of 116,5222 is 302876.
The greatest common factor of 4961/116,2651/5222 = [GCF of 4961,2651]/[LCM of 116,5222]= 11/302876
Therefore, the GCF of 4961/116,2651/5222 is 11/302876.
To find the highest common factor of 4961,2651, 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 2651 are 1, 11, 241, 2651
The HCF of 4961,2651 is 11.
Lets's calculate GCF of 4961,2651
| 11 | 4961, 2651 |
| 451, 241 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4961,2651 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 2651
:1,11,241,2651
Greatest Common Factor
We found the factors 4961,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 4961,2651 is 11.
Lets's calculate LCM of 116,5222
| 2 | 116, 5222 |
| 58, 2611 |
∴ So the LCM of the given numbers is 2 x 58 x 2611 = 302876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/302876
Therefore, the GCF of Fractions 4961/116,2651/5222 is 11/302876
Least Common Multiple of 116,5222 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 116,5222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,5222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,5222) x common factors =2 x 1 = 2
LCM(116,5222) = ( 116 × 5222 ) / 2
LCM(116,5222) = 605752 / 2
LCM(116,5222) = 302876
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FAQs on GCF of Fractions of 4961/116, 2651/5222
1. What is the HCF of 4961,2651?
The HCF of 4961,2651 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 4961/116, 2651/5222?
Answer: GCF of Numerators as per given numbers 4961/116, 2651/5222 is
GCF of Numerators i.e. for 4961,2651 is 11
LCM of denominators i.e. for 116,5222 is 302876.
Thus, GCF of Fractions is 11/302876.Finally, GCF of Fractions for 4961/116, 2651/5222 is 11/302876.