GCF of 1335/974, 2890/5962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1335/974, 2890/5962 i.e 5/2903494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1335/974, 2890/5962.
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 1335/974,2890/5962?
Given fractions are 1335/974,2890/5962
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 1335/974,2890/5962, numerators are 1335,2890
Denominators are 974,5962
The GCF of 1335,2890 is 5 .
LCM of 974,5962 is 2903494.
The greatest common factor of 1335/974,2890/5962 = [GCF of 1335,2890]/[LCM of 974,5962]= 5/2903494
Therefore, the GCF of 1335/974,2890/5962 is 5/2903494.
To find the highest common factor of 1335,2890, we have to find the factors of both numbers and list the highest common factor.
The factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335
The factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890
The HCF of 1335,2890 is 5.
Lets's calculate GCF of 1335,2890
| 5 | 1335, 2890 |
| 267, 578 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1335,2890 By Matching Biggest Common Factor Method
Now, list down the factors of 1335
:1,3,5,15,89,267,445,1335
Now, list down the factors of 2890
:1,2,5,10,17,34,85,170,289,578,1445,2890
Greatest Common Factor
We found the factors 1335,2890 . The biggest common factor number is the GCF number.
So the greatest common factor 1335,2890 is 5.
Lets's calculate LCM of 974,5962
| 2 | 974, 5962 |
| 487, 2981 |
∴ So the LCM of the given numbers is 2 x 487 x 2981 = 2903494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2903494
Therefore, the GCF of Fractions 1335/974,2890/5962 is 5/2903494
Least Common Multiple of 974,5962 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 974,5962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,5962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,5962) x common factors =2 x 1 = 2
LCM(974,5962) = ( 974 × 5962 ) / 2
LCM(974,5962) = 5806988 / 2
LCM(974,5962) = 2903494
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FAQs on GCF of Fractions of 1335/974, 2890/5962
1. What is the HCF of 1335,2890?
The HCF of 1335,2890 is 5
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 1335/974, 2890/5962?
Answer: GCF of Numerators as per given numbers 1335/974, 2890/5962 is
GCF of Numerators i.e. for 1335,2890 is 5
LCM of denominators i.e. for 974,5962 is 2903494.
Thus, GCF of Fractions is 5/2903494.Finally, GCF of Fractions for 1335/974, 2890/5962 is 5/2903494.