GCF of 8980/529, 7634/9419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8980/529, 7634/9419 i.e 2/4982651 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8980/529, 7634/9419.
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 8980/529,7634/9419?
Given fractions are 8980/529,7634/9419
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 8980/529,7634/9419, numerators are 8980,7634
Denominators are 529,9419
The GCF of 8980,7634 is 2 .
LCM of 529,9419 is 4982651.
The greatest common factor of 8980/529,7634/9419 = [GCF of 8980,7634]/[LCM of 529,9419]= 2/4982651
Therefore, the GCF of 8980/529,7634/9419 is 2/4982651.
To find the highest common factor of 8980,7634, we have to find the factors of both numbers and list the highest common factor.
The factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980
The factors of 7634 are 1, 2, 11, 22, 347, 694, 3817, 7634
The HCF of 8980,7634 is 2.
Lets's calculate GCF of 8980,7634
| 2 | 8980, 7634 |
| 4490, 3817 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8980,7634 By Matching Biggest Common Factor Method
Now, list down the factors of 8980
:1,2,4,5,10,20,449,898,1796,2245,4490,8980
Now, list down the factors of 7634
:1,2,11,22,347,694,3817,7634
Greatest Common Factor
We found the factors 8980,7634 . The biggest common factor number is the GCF number.
So the greatest common factor 8980,7634 is 2.
Lets's calculate LCM of 529,9419
Given numbers has no common factors except 1. So, there LCM is their product i.e 4982651
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4982651
Therefore, the GCF of Fractions 8980/529,7634/9419 is 2/4982651
Least Common Multiple of 529,9419 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 529,9419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,9419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,9419) x common factors =1 x 1 = 1
LCM(529,9419) = ( 529 × 9419 ) / 1
LCM(529,9419) = 4982651 / 1
LCM(529,9419) = 4982651
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FAQs on GCF of Fractions of 8980/529, 7634/9419
1. What is the HCF of 8980,7634?
The HCF of 8980,7634 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 8980/529, 7634/9419?
Answer: GCF of Numerators as per given numbers 8980/529, 7634/9419 is
GCF of Numerators i.e. for 8980,7634 is 2
LCM of denominators i.e. for 529,9419 is 4982651.
Thus, GCF of Fractions is 2/4982651.Finally, GCF of Fractions for 8980/529, 7634/9419 is 2/4982651.