GCF of 7811/966, 4972/5691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7811/966, 4972/5691 i.e 1/261786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7811/966, 4972/5691.
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 7811/966,4972/5691?
Given fractions are 7811/966,4972/5691
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 7811/966,4972/5691, numerators are 7811,4972
Denominators are 966,5691
The GCF of 7811,4972 is 1 .
LCM of 966,5691 is 261786.
The greatest common factor of 7811/966,4972/5691 = [GCF of 7811,4972]/[LCM of 966,5691]= 1/261786
Therefore, the GCF of 7811/966,4972/5691 is 1/261786.
To find the highest common factor of 7811,4972, we have to find the factors of both numbers and list the highest common factor.
The factors of 7811 are 1, 73, 107, 7811
The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972
The HCF of 7811,4972 is 1.
Lets's calculate GCF of 7811,4972
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7811,4972 By Matching Biggest Common Factor Method
Now, list down the factors of 7811
:1,73,107,7811
Now, list down the factors of 4972
:1,2,4,11,22,44,113,226,452,1243,2486,4972
Greatest Common Factor
We found the factors 7811,4972 . The biggest common factor number is the GCF number.
So the greatest common factor 7811,4972 is 1.
Lets's calculate LCM of 966,5691
| 3 | 966, 5691 |
| 7 | 322, 1897 |
| 46, 271 |
∴ So the LCM of the given numbers is 3 x 7 x 46 x 271 = 261786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261786
Therefore, the GCF of Fractions 7811/966,4972/5691 is 1/261786
Least Common Multiple of 966,5691 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 966,5691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,5691) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(966,5691) x common factors =21 x 1 = 21
LCM(966,5691) = ( 966 × 5691 ) / 21
LCM(966,5691) = 5497506 / 21
LCM(966,5691) = 261786
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FAQs on GCF of Fractions of 7811/966, 4972/5691
1. What is the HCF of 7811,4972?
The HCF of 7811,4972 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 7811/966, 4972/5691?
Answer: GCF of Numerators as per given numbers 7811/966, 4972/5691 is
GCF of Numerators i.e. for 7811,4972 is 1
LCM of denominators i.e. for 966,5691 is 261786.
Thus, GCF of Fractions is 1/261786.Finally, GCF of Fractions for 7811/966, 4972/5691 is 1/261786.