GCF of 6404/661, 7552/6654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6404/661, 7552/6654 i.e 4/4398294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6404/661, 7552/6654.
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 6404/661,7552/6654?
Given fractions are 6404/661,7552/6654
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 6404/661,7552/6654, numerators are 6404,7552
Denominators are 661,6654
The GCF of 6404,7552 is 4 .
LCM of 661,6654 is 4398294.
The greatest common factor of 6404/661,7552/6654 = [GCF of 6404,7552]/[LCM of 661,6654]= 4/4398294
Therefore, the GCF of 6404/661,7552/6654 is 4/4398294.
To find the highest common factor of 6404,7552, we have to find the factors of both numbers and list the highest common factor.
The factors of 6404 are 1, 2, 4, 1601, 3202, 6404
The factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552
The HCF of 6404,7552 is 4.
Lets's calculate GCF of 6404,7552
| 2 | 6404, 7552 |
| 2 | 3202, 3776 |
| 1601, 1888 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6404,7552 By Matching Biggest Common Factor Method
Now, list down the factors of 6404
:1,2,4,1601,3202,6404
Now, list down the factors of 7552
:1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552
Greatest Common Factor
We found the factors 6404,7552 . The biggest common factor number is the GCF number.
So the greatest common factor 6404,7552 is 4.
Lets's calculate LCM of 661,6654
Given numbers has no common factors except 1. So, there LCM is their product i.e 4398294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4398294
Therefore, the GCF of Fractions 6404/661,7552/6654 is 4/4398294
Least Common Multiple of 661,6654 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 661,6654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,6654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,6654) x common factors =1 x 1 = 1
LCM(661,6654) = ( 661 × 6654 ) / 1
LCM(661,6654) = 4398294 / 1
LCM(661,6654) = 4398294
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FAQs on GCF of Fractions of 6404/661, 7552/6654
1. What is the HCF of 6404,7552?
The HCF of 6404,7552 is 4
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 6404/661, 7552/6654?
Answer: GCF of Numerators as per given numbers 6404/661, 7552/6654 is
GCF of Numerators i.e. for 6404,7552 is 4
LCM of denominators i.e. for 661,6654 is 4398294.
Thus, GCF of Fractions is 4/4398294.Finally, GCF of Fractions for 6404/661, 7552/6654 is 4/4398294.