GCF of 9262/480, 7898/7840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9262/480, 7898/7840 i.e 22/23520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9262/480, 7898/7840.
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 9262/480,7898/7840?
Given fractions are 9262/480,7898/7840
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 9262/480,7898/7840, numerators are 9262,7898
Denominators are 480,7840
The GCF of 9262,7898 is 22 .
LCM of 480,7840 is 23520.
The greatest common factor of 9262/480,7898/7840 = [GCF of 9262,7898]/[LCM of 480,7840]= 22/23520
Therefore, the GCF of 9262/480,7898/7840 is 22/23520.
To find the highest common factor of 9262,7898, we have to find the factors of both numbers and list the highest common factor.
The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262
The factors of 7898 are 1, 2, 11, 22, 359, 718, 3949, 7898
The HCF of 9262,7898 is 22.
Lets's calculate GCF of 9262,7898
| 2 | 9262, 7898 |
| 11 | 4631, 3949 |
| 421, 359 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9262,7898 By Matching Biggest Common Factor Method
Now, list down the factors of 9262
:1,2,11,22,421,842,4631,9262
Now, list down the factors of 7898
:1,2,11,22,359,718,3949,7898
Greatest Common Factor
We found the factors 9262,7898 . The biggest common factor number is the GCF number.
So the greatest common factor 9262,7898 is 22.
Lets's calculate LCM of 480,7840
| 2 | 480, 7840 |
| 2 | 240, 3920 |
| 2 | 120, 1960 |
| 2 | 60, 980 |
| 2 | 30, 490 |
| 5 | 15, 245 |
| 3, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 3 x 49 = 23520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/23520
Therefore, the GCF of Fractions 9262/480,7898/7840 is 22/23520
Least Common Multiple of 480,7840 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 480,7840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,7840) = 160
common factors(in case of two or more numbers have common factors) = 1
GCF(480,7840) x common factors =160 x 1 = 160
LCM(480,7840) = ( 480 × 7840 ) / 160
LCM(480,7840) = 3763200 / 160
LCM(480,7840) = 23520
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FAQs on GCF of Fractions of 9262/480, 7898/7840
1. What is the HCF of 9262,7898?
The HCF of 9262,7898 is 22
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 9262/480, 7898/7840?
Answer: GCF of Numerators as per given numbers 9262/480, 7898/7840 is
GCF of Numerators i.e. for 9262,7898 is 22
LCM of denominators i.e. for 480,7840 is 23520.
Thus, GCF of Fractions is 22/23520.Finally, GCF of Fractions for 9262/480, 7898/7840 is 22/23520.