GCF of 8401/432, 7611/7766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8401/432, 7611/7766 i.e 1/1677456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8401/432, 7611/7766.
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 8401/432,7611/7766?
Given fractions are 8401/432,7611/7766
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 8401/432,7611/7766, numerators are 8401,7611
Denominators are 432,7766
The GCF of 8401,7611 is 1 .
LCM of 432,7766 is 1677456.
The greatest common factor of 8401/432,7611/7766 = [GCF of 8401,7611]/[LCM of 432,7766]= 1/1677456
Therefore, the GCF of 8401/432,7611/7766 is 1/1677456.
To find the highest common factor of 8401,7611, we have to find the factors of both numbers and list the highest common factor.
The factors of 8401 are 1, 31, 271, 8401
The factors of 7611 are 1, 3, 43, 59, 129, 177, 2537, 7611
The HCF of 8401,7611 is 1.
Lets's calculate GCF of 8401,7611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8401,7611 By Matching Biggest Common Factor Method
Now, list down the factors of 8401
:1,31,271,8401
Now, list down the factors of 7611
:1,3,43,59,129,177,2537,7611
Greatest Common Factor
We found the factors 8401,7611 . The biggest common factor number is the GCF number.
So the greatest common factor 8401,7611 is 1.
Lets's calculate LCM of 432,7766
| 2 | 432, 7766 |
| 216, 3883 |
∴ So the LCM of the given numbers is 2 x 216 x 3883 = 1677456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1677456
Therefore, the GCF of Fractions 8401/432,7611/7766 is 1/1677456
Least Common Multiple of 432,7766 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 432,7766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,7766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(432,7766) x common factors =2 x 1 = 2
LCM(432,7766) = ( 432 × 7766 ) / 2
LCM(432,7766) = 3354912 / 2
LCM(432,7766) = 1677456
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FAQs on GCF of Fractions of 8401/432, 7611/7766
1. What is the HCF of 8401,7611?
The HCF of 8401,7611 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 8401/432, 7611/7766?
Answer: GCF of Numerators as per given numbers 8401/432, 7611/7766 is
GCF of Numerators i.e. for 8401,7611 is 1
LCM of denominators i.e. for 432,7766 is 1677456.
Thus, GCF of Fractions is 1/1677456.Finally, GCF of Fractions for 8401/432, 7611/7766 is 1/1677456.