GCF of 9630/978, 6526/118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9630/978, 6526/118 i.e 2/57702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9630/978, 6526/118.
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 9630/978,6526/118?
Given fractions are 9630/978,6526/118
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 9630/978,6526/118, numerators are 9630,6526
Denominators are 978,118
The GCF of 9630,6526 is 2 .
LCM of 978,118 is 57702.
The greatest common factor of 9630/978,6526/118 = [GCF of 9630,6526]/[LCM of 978,118]= 2/57702
Therefore, the GCF of 9630/978,6526/118 is 2/57702.
To find the highest common factor of 9630,6526, we have to find the factors of both numbers and list the highest common factor.
The factors of 9630 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 107, 214, 321, 535, 642, 963, 1070, 1605, 1926, 3210, 4815, 9630
The factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526
The HCF of 9630,6526 is 2.
Lets's calculate GCF of 9630,6526
| 2 | 9630, 6526 |
| 4815, 3263 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9630,6526 By Matching Biggest Common Factor Method
Now, list down the factors of 9630
:1,2,3,5,6,9,10,15,18,30,45,90,107,214,321,535,642,963,1070,1605,1926,3210,4815,9630
Now, list down the factors of 6526
:1,2,13,26,251,502,3263,6526
Greatest Common Factor
We found the factors 9630,6526 . The biggest common factor number is the GCF number.
So the greatest common factor 9630,6526 is 2.
Lets's calculate LCM of 978,118
| 2 | 978, 118 |
| 489, 59 |
∴ So the LCM of the given numbers is 2 x 489 x 59 = 57702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57702
Therefore, the GCF of Fractions 9630/978,6526/118 is 2/57702
Least Common Multiple of 978,118 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 978,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,118) x common factors =2 x 1 = 2
LCM(978,118) = ( 978 × 118 ) / 2
LCM(978,118) = 115404 / 2
LCM(978,118) = 57702
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9630/978, 6526/118
1. What is the HCF of 9630,6526?
The HCF of 9630,6526 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 9630/978, 6526/118?
Answer: GCF of Numerators as per given numbers 9630/978, 6526/118 is
GCF of Numerators i.e. for 9630,6526 is 2
LCM of denominators i.e. for 978,118 is 57702.
Thus, GCF of Fractions is 2/57702.Finally, GCF of Fractions for 9630/978, 6526/118 is 2/57702.