GCF of 7571/279, 6314/6834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7571/279, 6314/6834 i.e 1/635562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7571/279, 6314/6834.
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 7571/279,6314/6834?
Given fractions are 7571/279,6314/6834
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 7571/279,6314/6834, numerators are 7571,6314
Denominators are 279,6834
The GCF of 7571,6314 is 1 .
LCM of 279,6834 is 635562.
The greatest common factor of 7571/279,6314/6834 = [GCF of 7571,6314]/[LCM of 279,6834]= 1/635562
Therefore, the GCF of 7571/279,6314/6834 is 1/635562.
To find the highest common factor of 7571,6314, we have to find the factors of both numbers and list the highest common factor.
The factors of 7571 are 1, 67, 113, 7571
The factors of 6314 are 1, 2, 7, 11, 14, 22, 41, 77, 82, 154, 287, 451, 574, 902, 3157, 6314
The HCF of 7571,6314 is 1.
Lets's calculate GCF of 7571,6314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7571,6314 By Matching Biggest Common Factor Method
Now, list down the factors of 7571
:1,67,113,7571
Now, list down the factors of 6314
:1,2,7,11,14,22,41,77,82,154,287,451,574,902,3157,6314
Greatest Common Factor
We found the factors 7571,6314 . The biggest common factor number is the GCF number.
So the greatest common factor 7571,6314 is 1.
Lets's calculate LCM of 279,6834
| 3 | 279, 6834 |
| 93, 2278 |
∴ So the LCM of the given numbers is 3 x 93 x 2278 = 635562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/635562
Therefore, the GCF of Fractions 7571/279,6314/6834 is 1/635562
Least Common Multiple of 279,6834 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 279,6834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,6834) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(279,6834) x common factors =3 x 1 = 3
LCM(279,6834) = ( 279 × 6834 ) / 3
LCM(279,6834) = 1906686 / 3
LCM(279,6834) = 635562
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FAQs on GCF of Fractions of 7571/279, 6314/6834
1. What is the HCF of 7571,6314?
The HCF of 7571,6314 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 7571/279, 6314/6834?
Answer: GCF of Numerators as per given numbers 7571/279, 6314/6834 is
GCF of Numerators i.e. for 7571,6314 is 1
LCM of denominators i.e. for 279,6834 is 635562.
Thus, GCF of Fractions is 1/635562.Finally, GCF of Fractions for 7571/279, 6314/6834 is 1/635562.