GCF of 7140/799, 5617/7922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7140/799, 5617/7922 i.e 1/372334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7140/799, 5617/7922.
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 7140/799,5617/7922?
Given fractions are 7140/799,5617/7922
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 7140/799,5617/7922, numerators are 7140,5617
Denominators are 799,7922
The GCF of 7140,5617 is 1 .
LCM of 799,7922 is 372334.
The greatest common factor of 7140/799,5617/7922 = [GCF of 7140,5617]/[LCM of 799,7922]= 1/372334
Therefore, the GCF of 7140/799,5617/7922 is 1/372334.
To find the highest common factor of 7140,5617, we have to find the factors of both numbers and list the highest common factor.
The factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140
The factors of 5617 are 1, 41, 137, 5617
The HCF of 7140,5617 is 1.
Lets's calculate GCF of 7140,5617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7140,5617 By Matching Biggest Common Factor Method
Now, list down the factors of 7140
:1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140
Now, list down the factors of 5617
:1,41,137,5617
Greatest Common Factor
We found the factors 7140,5617 . The biggest common factor number is the GCF number.
So the greatest common factor 7140,5617 is 1.
Lets's calculate LCM of 799,7922
| 17 | 799, 7922 |
| 47, 466 |
∴ So the LCM of the given numbers is 17 x 47 x 466 = 372334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372334
Therefore, the GCF of Fractions 7140/799,5617/7922 is 1/372334
Least Common Multiple of 799,7922 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 799,7922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,7922) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(799,7922) x common factors =17 x 1 = 17
LCM(799,7922) = ( 799 × 7922 ) / 17
LCM(799,7922) = 6329678 / 17
LCM(799,7922) = 372334
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FAQs on GCF of Fractions of 7140/799, 5617/7922
1. What is the HCF of 7140,5617?
The HCF of 7140,5617 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 7140/799, 5617/7922?
Answer: GCF of Numerators as per given numbers 7140/799, 5617/7922 is
GCF of Numerators i.e. for 7140,5617 is 1
LCM of denominators i.e. for 799,7922 is 372334.
Thus, GCF of Fractions is 1/372334.Finally, GCF of Fractions for 7140/799, 5617/7922 is 1/372334.