GCF of 7251/469, 9276/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7251/469, 9276/910 i.e 3/60970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7251/469, 9276/910.
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 7251/469,9276/910?
Given fractions are 7251/469,9276/910
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 7251/469,9276/910, numerators are 7251,9276
Denominators are 469,910
The GCF of 7251,9276 is 3 .
LCM of 469,910 is 60970.
The greatest common factor of 7251/469,9276/910 = [GCF of 7251,9276]/[LCM of 469,910]= 3/60970
Therefore, the GCF of 7251/469,9276/910 is 3/60970.
To find the highest common factor of 7251,9276, we have to find the factors of both numbers and list the highest common factor.
The factors of 7251 are 1, 3, 2417, 7251
The factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276
The HCF of 7251,9276 is 3.
Lets's calculate GCF of 7251,9276
| 3 | 7251, 9276 |
| 2417, 3092 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7251,9276 By Matching Biggest Common Factor Method
Now, list down the factors of 7251
:1,3,2417,7251
Now, list down the factors of 9276
:1,2,3,4,6,12,773,1546,2319,3092,4638,9276
Greatest Common Factor
We found the factors 7251,9276 . The biggest common factor number is the GCF number.
So the greatest common factor 7251,9276 is 3.
Lets's calculate LCM of 469,910
| 7 | 469, 910 |
| 67, 130 |
∴ So the LCM of the given numbers is 7 x 67 x 130 = 60970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/60970
Therefore, the GCF of Fractions 7251/469,9276/910 is 3/60970
Least Common Multiple of 469,910 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 469,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,910) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(469,910) x common factors =7 x 1 = 7
LCM(469,910) = ( 469 × 910 ) / 7
LCM(469,910) = 426790 / 7
LCM(469,910) = 60970
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FAQs on GCF of Fractions of 7251/469, 9276/910
1. What is the HCF of 7251,9276?
The HCF of 7251,9276 is 3
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 7251/469, 9276/910?
Answer: GCF of Numerators as per given numbers 7251/469, 9276/910 is
GCF of Numerators i.e. for 7251,9276 is 3
LCM of denominators i.e. for 469,910 is 60970.
Thus, GCF of Fractions is 3/60970.Finally, GCF of Fractions for 7251/469, 9276/910 is 3/60970.