GCF of 7334/673, 6528/7577
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7334/673, 6528/7577 i.e 2/5099321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7334/673, 6528/7577.
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 7334/673,6528/7577?
Given fractions are 7334/673,6528/7577
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 7334/673,6528/7577, numerators are 7334,6528
Denominators are 673,7577
The GCF of 7334,6528 is 2 .
LCM of 673,7577 is 5099321.
The greatest common factor of 7334/673,6528/7577 = [GCF of 7334,6528]/[LCM of 673,7577]= 2/5099321
Therefore, the GCF of 7334/673,6528/7577 is 2/5099321.
To find the highest common factor of 7334,6528, we have to find the factors of both numbers and list the highest common factor.
The factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334
The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
The HCF of 7334,6528 is 2.
Lets's calculate GCF of 7334,6528
| 2 | 7334, 6528 |
| 3667, 3264 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7334,6528 By Matching Biggest Common Factor Method
Now, list down the factors of 7334
:1,2,19,38,193,386,3667,7334
Now, list down the factors of 6528
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Greatest Common Factor
We found the factors 7334,6528 . The biggest common factor number is the GCF number.
So the greatest common factor 7334,6528 is 2.
Lets's calculate LCM of 673,7577
Given numbers has no common factors except 1. So, there LCM is their product i.e 5099321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5099321
Therefore, the GCF of Fractions 7334/673,6528/7577 is 2/5099321
Least Common Multiple of 673,7577 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 673,7577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,7577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,7577) x common factors =1 x 1 = 1
LCM(673,7577) = ( 673 × 7577 ) / 1
LCM(673,7577) = 5099321 / 1
LCM(673,7577) = 5099321
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FAQs on GCF of Fractions of 7334/673, 6528/7577
1. What is the HCF of 7334,6528?
The HCF of 7334,6528 is 2
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 7334/673, 6528/7577?
Answer: GCF of Numerators as per given numbers 7334/673, 6528/7577 is
GCF of Numerators i.e. for 7334,6528 is 2
LCM of denominators i.e. for 673,7577 is 5099321.
Thus, GCF of Fractions is 2/5099321.Finally, GCF of Fractions for 7334/673, 6528/7577 is 2/5099321.