GCF of 7348/597, 5782/921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7348/597, 5782/921 i.e 2/183279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7348/597, 5782/921.
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 7348/597,5782/921?
Given fractions are 7348/597,5782/921
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 7348/597,5782/921, numerators are 7348,5782
Denominators are 597,921
The GCF of 7348,5782 is 2 .
LCM of 597,921 is 183279.
The greatest common factor of 7348/597,5782/921 = [GCF of 7348,5782]/[LCM of 597,921]= 2/183279
Therefore, the GCF of 7348/597,5782/921 is 2/183279.
To find the highest common factor of 7348,5782, we have to find the factors of both numbers and list the highest common factor.
The factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348
The factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782
The HCF of 7348,5782 is 2.
Lets's calculate GCF of 7348,5782
| 2 | 7348, 5782 |
| 3674, 2891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7348,5782 By Matching Biggest Common Factor Method
Now, list down the factors of 7348
:1,2,4,11,22,44,167,334,668,1837,3674,7348
Now, list down the factors of 5782
:1,2,7,14,49,59,98,118,413,826,2891,5782
Greatest Common Factor
We found the factors 7348,5782 . The biggest common factor number is the GCF number.
So the greatest common factor 7348,5782 is 2.
Lets's calculate LCM of 597,921
| 3 | 597, 921 |
| 199, 307 |
∴ So the LCM of the given numbers is 3 x 199 x 307 = 183279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/183279
Therefore, the GCF of Fractions 7348/597,5782/921 is 2/183279
Least Common Multiple of 597,921 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 597,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,921) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(597,921) x common factors =3 x 1 = 3
LCM(597,921) = ( 597 × 921 ) / 3
LCM(597,921) = 549837 / 3
LCM(597,921) = 183279
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FAQs on GCF of Fractions of 7348/597, 5782/921
1. What is the HCF of 7348,5782?
The HCF of 7348,5782 is 2
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 7348/597, 5782/921?
Answer: GCF of Numerators as per given numbers 7348/597, 5782/921 is
GCF of Numerators i.e. for 7348,5782 is 2
LCM of denominators i.e. for 597,921 is 183279.
Thus, GCF of Fractions is 2/183279.Finally, GCF of Fractions for 7348/597, 5782/921 is 2/183279.