GCF of 3813/498, 7580/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3813/498, 7580/974 i.e 1/242526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3813/498, 7580/974.
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 3813/498,7580/974?
Given fractions are 3813/498,7580/974
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 3813/498,7580/974, numerators are 3813,7580
Denominators are 498,974
The GCF of 3813,7580 is 1 .
LCM of 498,974 is 242526.
The greatest common factor of 3813/498,7580/974 = [GCF of 3813,7580]/[LCM of 498,974]= 1/242526
Therefore, the GCF of 3813/498,7580/974 is 1/242526.
To find the highest common factor of 3813,7580, we have to find the factors of both numbers and list the highest common factor.
The factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813
The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580
The HCF of 3813,7580 is 1.
Lets's calculate GCF of 3813,7580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3813,7580 By Matching Biggest Common Factor Method
Now, list down the factors of 3813
:1,3,31,41,93,123,1271,3813
Now, list down the factors of 7580
:1,2,4,5,10,20,379,758,1516,1895,3790,7580
Greatest Common Factor
We found the factors 3813,7580 . The biggest common factor number is the GCF number.
So the greatest common factor 3813,7580 is 1.
Lets's calculate LCM of 498,974
| 2 | 498, 974 |
| 249, 487 |
∴ So the LCM of the given numbers is 2 x 249 x 487 = 242526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242526
Therefore, the GCF of Fractions 3813/498,7580/974 is 1/242526
Least Common Multiple of 498,974 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 498,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,974) x common factors =2 x 1 = 2
LCM(498,974) = ( 498 × 974 ) / 2
LCM(498,974) = 485052 / 2
LCM(498,974) = 242526
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FAQs on GCF of Fractions of 3813/498, 7580/974
1. What is the HCF of 3813,7580?
The HCF of 3813,7580 is 1
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 3813/498, 7580/974?
Answer: GCF of Numerators as per given numbers 3813/498, 7580/974 is
GCF of Numerators i.e. for 3813,7580 is 1
LCM of denominators i.e. for 498,974 is 242526.
Thus, GCF of Fractions is 1/242526.Finally, GCF of Fractions for 3813/498, 7580/974 is 1/242526.