GCF of 4967/552, 7697/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4967/552, 7697/910 i.e 1/251160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4967/552, 7697/910.
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 4967/552,7697/910?
Given fractions are 4967/552,7697/910
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 4967/552,7697/910, numerators are 4967,7697
Denominators are 552,910
The GCF of 4967,7697 is 1 .
LCM of 552,910 is 251160.
The greatest common factor of 4967/552,7697/910 = [GCF of 4967,7697]/[LCM of 552,910]= 1/251160
Therefore, the GCF of 4967/552,7697/910 is 1/251160.
To find the highest common factor of 4967,7697, we have to find the factors of both numbers and list the highest common factor.
The factors of 4967 are 1, 4967
The factors of 7697 are 1, 43, 179, 7697
The HCF of 4967,7697 is 1.
Lets's calculate GCF of 4967,7697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4967,7697 By Matching Biggest Common Factor Method
Now, list down the factors of 4967
:1,4967
Now, list down the factors of 7697
:1,43,179,7697
Greatest Common Factor
We found the factors 4967,7697 . The biggest common factor number is the GCF number.
So the greatest common factor 4967,7697 is 1.
Lets's calculate LCM of 552,910
| 2 | 552, 910 |
| 276, 455 |
∴ So the LCM of the given numbers is 2 x 276 x 455 = 251160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251160
Therefore, the GCF of Fractions 4967/552,7697/910 is 1/251160
Least Common Multiple of 552,910 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 552,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(552,910) x common factors =2 x 1 = 2
LCM(552,910) = ( 552 × 910 ) / 2
LCM(552,910) = 502320 / 2
LCM(552,910) = 251160
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FAQs on GCF of Fractions of 4967/552, 7697/910
1. What is the HCF of 4967,7697?
The HCF of 4967,7697 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 4967/552, 7697/910?
Answer: GCF of Numerators as per given numbers 4967/552, 7697/910 is
GCF of Numerators i.e. for 4967,7697 is 1
LCM of denominators i.e. for 552,910 is 251160.
Thus, GCF of Fractions is 1/251160.Finally, GCF of Fractions for 4967/552, 7697/910 is 1/251160.