GCF of 6529/934, 7622/8918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6529/934, 7622/8918 i.e 1/4164706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6529/934, 7622/8918.
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 6529/934,7622/8918?
Given fractions are 6529/934,7622/8918
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 6529/934,7622/8918, numerators are 6529,7622
Denominators are 934,8918
The GCF of 6529,7622 is 1 .
LCM of 934,8918 is 4164706.
The greatest common factor of 6529/934,7622/8918 = [GCF of 6529,7622]/[LCM of 934,8918]= 1/4164706
Therefore, the GCF of 6529/934,7622/8918 is 1/4164706.
To find the highest common factor of 6529,7622, we have to find the factors of both numbers and list the highest common factor.
The factors of 6529 are 1, 6529
The factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622
The HCF of 6529,7622 is 1.
Lets's calculate GCF of 6529,7622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6529,7622 By Matching Biggest Common Factor Method
Now, list down the factors of 6529
:1,6529
Now, list down the factors of 7622
:1,2,37,74,103,206,3811,7622
Greatest Common Factor
We found the factors 6529,7622 . The biggest common factor number is the GCF number.
So the greatest common factor 6529,7622 is 1.
Lets's calculate LCM of 934,8918
| 2 | 934, 8918 |
| 467, 4459 |
∴ So the LCM of the given numbers is 2 x 467 x 4459 = 4164706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4164706
Therefore, the GCF of Fractions 6529/934,7622/8918 is 1/4164706
Least Common Multiple of 934,8918 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 934,8918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,8918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,8918) x common factors =2 x 1 = 2
LCM(934,8918) = ( 934 × 8918 ) / 2
LCM(934,8918) = 8329412 / 2
LCM(934,8918) = 4164706
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6529/934, 7622/8918
1. What is the HCF of 6529,7622?
The HCF of 6529,7622 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 6529/934, 7622/8918?
Answer: GCF of Numerators as per given numbers 6529/934, 7622/8918 is
GCF of Numerators i.e. for 6529,7622 is 1
LCM of denominators i.e. for 934,8918 is 4164706.
Thus, GCF of Fractions is 1/4164706.Finally, GCF of Fractions for 6529/934, 7622/8918 is 1/4164706.