GCF of 7326/925, 4892/6835
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7326/925, 4892/6835 i.e 2/1264475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7326/925, 4892/6835.
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 7326/925,4892/6835?
Given fractions are 7326/925,4892/6835
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 7326/925,4892/6835, numerators are 7326,4892
Denominators are 925,6835
The GCF of 7326,4892 is 2 .
LCM of 925,6835 is 1264475.
The greatest common factor of 7326/925,4892/6835 = [GCF of 7326,4892]/[LCM of 925,6835]= 2/1264475
Therefore, the GCF of 7326/925,4892/6835 is 2/1264475.
To find the highest common factor of 7326,4892, we have to find the factors of both numbers and list the highest common factor.
The factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326
The factors of 4892 are 1, 2, 4, 1223, 2446, 4892
The HCF of 7326,4892 is 2.
Lets's calculate GCF of 7326,4892
| 2 | 7326, 4892 |
| 3663, 2446 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7326,4892 By Matching Biggest Common Factor Method
Now, list down the factors of 7326
:1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326
Now, list down the factors of 4892
:1,2,4,1223,2446,4892
Greatest Common Factor
We found the factors 7326,4892 . The biggest common factor number is the GCF number.
So the greatest common factor 7326,4892 is 2.
Lets's calculate LCM of 925,6835
| 5 | 925, 6835 |
| 185, 1367 |
∴ So the LCM of the given numbers is 5 x 185 x 1367 = 1264475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1264475
Therefore, the GCF of Fractions 7326/925,4892/6835 is 2/1264475
Least Common Multiple of 925,6835 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 925,6835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,6835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(925,6835) x common factors =5 x 1 = 5
LCM(925,6835) = ( 925 × 6835 ) / 5
LCM(925,6835) = 6322375 / 5
LCM(925,6835) = 1264475
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FAQs on GCF of Fractions of 7326/925, 4892/6835
1. What is the HCF of 7326,4892?
The HCF of 7326,4892 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 7326/925, 4892/6835?
Answer: GCF of Numerators as per given numbers 7326/925, 4892/6835 is
GCF of Numerators i.e. for 7326,4892 is 2
LCM of denominators i.e. for 925,6835 is 1264475.
Thus, GCF of Fractions is 2/1264475.Finally, GCF of Fractions for 7326/925, 4892/6835 is 2/1264475.