GCF of 9794/974, 2199/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9794/974, 2199/134 i.e 1/65258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9794/974, 2199/134.
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 9794/974,2199/134?
Given fractions are 9794/974,2199/134
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 9794/974,2199/134, numerators are 9794,2199
Denominators are 974,134
The GCF of 9794,2199 is 1 .
LCM of 974,134 is 65258.
The greatest common factor of 9794/974,2199/134 = [GCF of 9794,2199]/[LCM of 974,134]= 1/65258
Therefore, the GCF of 9794/974,2199/134 is 1/65258.
To find the highest common factor of 9794,2199, we have to find the factors of both numbers and list the highest common factor.
The factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794
The factors of 2199 are 1, 3, 733, 2199
The HCF of 9794,2199 is 1.
Lets's calculate GCF of 9794,2199
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9794,2199 By Matching Biggest Common Factor Method
Now, list down the factors of 9794
:1,2,59,83,118,166,4897,9794
Now, list down the factors of 2199
:1,3,733,2199
Greatest Common Factor
We found the factors 9794,2199 . The biggest common factor number is the GCF number.
So the greatest common factor 9794,2199 is 1.
Lets's calculate LCM of 974,134
| 2 | 974, 134 |
| 487, 67 |
∴ So the LCM of the given numbers is 2 x 487 x 67 = 65258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65258
Therefore, the GCF of Fractions 9794/974,2199/134 is 1/65258
Least Common Multiple of 974,134 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 974,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,134) x common factors =2 x 1 = 2
LCM(974,134) = ( 974 × 134 ) / 2
LCM(974,134) = 130516 / 2
LCM(974,134) = 65258
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FAQs on GCF of Fractions of 9794/974, 2199/134
1. What is the HCF of 9794,2199?
The HCF of 9794,2199 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 9794/974, 2199/134?
Answer: GCF of Numerators as per given numbers 9794/974, 2199/134 is
GCF of Numerators i.e. for 9794,2199 is 1
LCM of denominators i.e. for 974,134 is 65258.
Thus, GCF of Fractions is 1/65258.Finally, GCF of Fractions for 9794/974, 2199/134 is 1/65258.