GCF of 2217/771, 7161/632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2217/771, 7161/632 i.e 3/487272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2217/771, 7161/632.
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 2217/771,7161/632?
Given fractions are 2217/771,7161/632
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 2217/771,7161/632, numerators are 2217,7161
Denominators are 771,632
The GCF of 2217,7161 is 3 .
LCM of 771,632 is 487272.
The greatest common factor of 2217/771,7161/632 = [GCF of 2217,7161]/[LCM of 771,632]= 3/487272
Therefore, the GCF of 2217/771,7161/632 is 3/487272.
To find the highest common factor of 2217,7161, we have to find the factors of both numbers and list the highest common factor.
The factors of 2217 are 1, 3, 739, 2217
The factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161
The HCF of 2217,7161 is 3.
Lets's calculate GCF of 2217,7161
| 3 | 2217, 7161 |
| 739, 2387 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2217,7161 By Matching Biggest Common Factor Method
Now, list down the factors of 2217
:1,3,739,2217
Now, list down the factors of 7161
:1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161
Greatest Common Factor
We found the factors 2217,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 2217,7161 is 3.
Lets's calculate LCM of 771,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 487272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/487272
Therefore, the GCF of Fractions 2217/771,7161/632 is 3/487272
Least Common Multiple of 771,632 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 771,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,632) x common factors =1 x 1 = 1
LCM(771,632) = ( 771 × 632 ) / 1
LCM(771,632) = 487272 / 1
LCM(771,632) = 487272
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FAQs on GCF of Fractions of 2217/771, 7161/632
1. What is the HCF of 2217,7161?
The HCF of 2217,7161 is 3
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 2217/771, 7161/632?
Answer: GCF of Numerators as per given numbers 2217/771, 7161/632 is
GCF of Numerators i.e. for 2217,7161 is 3
LCM of denominators i.e. for 771,632 is 487272.
Thus, GCF of Fractions is 3/487272.Finally, GCF of Fractions for 2217/771, 7161/632 is 3/487272.