GCF of 5373/370, 9784/5574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5373/370, 9784/5574 i.e 1/1031190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5373/370, 9784/5574.
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 5373/370,9784/5574?
Given fractions are 5373/370,9784/5574
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 5373/370,9784/5574, numerators are 5373,9784
Denominators are 370,5574
The GCF of 5373,9784 is 1 .
LCM of 370,5574 is 1031190.
The greatest common factor of 5373/370,9784/5574 = [GCF of 5373,9784]/[LCM of 370,5574]= 1/1031190
Therefore, the GCF of 5373/370,9784/5574 is 1/1031190.
To find the highest common factor of 5373,9784, we have to find the factors of both numbers and list the highest common factor.
The factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373
The factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784
The HCF of 5373,9784 is 1.
Lets's calculate GCF of 5373,9784
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5373,9784 By Matching Biggest Common Factor Method
Now, list down the factors of 5373
:1,3,9,27,199,597,1791,5373
Now, list down the factors of 9784
:1,2,4,8,1223,2446,4892,9784
Greatest Common Factor
We found the factors 5373,9784 . The biggest common factor number is the GCF number.
So the greatest common factor 5373,9784 is 1.
Lets's calculate LCM of 370,5574
| 2 | 370, 5574 |
| 185, 2787 |
∴ So the LCM of the given numbers is 2 x 185 x 2787 = 1031190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1031190
Therefore, the GCF of Fractions 5373/370,9784/5574 is 1/1031190
Least Common Multiple of 370,5574 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 370,5574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,5574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,5574) x common factors =2 x 1 = 2
LCM(370,5574) = ( 370 × 5574 ) / 2
LCM(370,5574) = 2062380 / 2
LCM(370,5574) = 1031190
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FAQs on GCF of Fractions of 5373/370, 9784/5574
1. What is the HCF of 5373,9784?
The HCF of 5373,9784 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 5373/370, 9784/5574?
Answer: GCF of Numerators as per given numbers 5373/370, 9784/5574 is
GCF of Numerators i.e. for 5373,9784 is 1
LCM of denominators i.e. for 370,5574 is 1031190.
Thus, GCF of Fractions is 1/1031190.Finally, GCF of Fractions for 5373/370, 9784/5574 is 1/1031190.