GCF of 5907/354, 7580/3422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5907/354, 7580/3422 i.e 1/10266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5907/354, 7580/3422.
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 5907/354,7580/3422?
Given fractions are 5907/354,7580/3422
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 5907/354,7580/3422, numerators are 5907,7580
Denominators are 354,3422
The GCF of 5907,7580 is 1 .
LCM of 354,3422 is 10266.
The greatest common factor of 5907/354,7580/3422 = [GCF of 5907,7580]/[LCM of 354,3422]= 1/10266
Therefore, the GCF of 5907/354,7580/3422 is 1/10266.
To find the highest common factor of 5907,7580, we have to find the factors of both numbers and list the highest common factor.
The factors of 5907 are 1, 3, 11, 33, 179, 537, 1969, 5907
The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580
The HCF of 5907,7580 is 1.
Lets's calculate GCF of 5907,7580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5907,7580 By Matching Biggest Common Factor Method
Now, list down the factors of 5907
:1,3,11,33,179,537,1969,5907
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 5907,7580 . The biggest common factor number is the GCF number.
So the greatest common factor 5907,7580 is 1.
Lets's calculate LCM of 354,3422
| 2 | 354, 3422 |
| 59 | 177, 1711 |
| 3, 29 |
∴ So the LCM of the given numbers is 2 x 59 x 3 x 29 = 10266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10266
Therefore, the GCF of Fractions 5907/354,7580/3422 is 1/10266
Least Common Multiple of 354,3422 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 354,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,3422) = 118
common factors(in case of two or more numbers have common factors) = 1
GCF(354,3422) x common factors =118 x 1 = 118
LCM(354,3422) = ( 354 × 3422 ) / 118
LCM(354,3422) = 1211388 / 118
LCM(354,3422) = 10266
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FAQs on GCF of Fractions of 5907/354, 7580/3422
1. What is the HCF of 5907,7580?
The HCF of 5907,7580 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 5907/354, 7580/3422?
Answer: GCF of Numerators as per given numbers 5907/354, 7580/3422 is
GCF of Numerators i.e. for 5907,7580 is 1
LCM of denominators i.e. for 354,3422 is 10266.
Thus, GCF of Fractions is 1/10266.Finally, GCF of Fractions for 5907/354, 7580/3422 is 1/10266.