GCF of 7370/583, 5695/5787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7370/583, 5695/5787 i.e 335/3373821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7370/583, 5695/5787.
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 7370/583,5695/5787?
Given fractions are 7370/583,5695/5787
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 7370/583,5695/5787, numerators are 7370,5695
Denominators are 583,5787
The GCF of 7370,5695 is 335 .
LCM of 583,5787 is 3373821.
The greatest common factor of 7370/583,5695/5787 = [GCF of 7370,5695]/[LCM of 583,5787]= 335/3373821
Therefore, the GCF of 7370/583,5695/5787 is 335/3373821.
To find the highest common factor of 7370,5695, we have to find the factors of both numbers and list the highest common factor.
The factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370
The factors of 5695 are 1, 5, 17, 67, 85, 335, 1139, 5695
The HCF of 7370,5695 is 335.
Lets's calculate GCF of 7370,5695
| 5 | 7370, 5695 |
| 67 | 1474, 1139 |
| 22, 17 |
∴ So the GCF of the given numbers is 5 x 67 = 335
Greatest Common Factor of 7370,5695 By Matching Biggest Common Factor Method
Now, list down the factors of 7370
:1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Now, list down the factors of 5695
:1,5,17,67,85,335,1139,5695
Greatest Common Factor
We found the factors 7370,5695 . The biggest common factor number is the GCF number.
So the greatest common factor 7370,5695 is 335.
Lets's calculate LCM of 583,5787
Given numbers has no common factors except 1. So, there LCM is their product i.e 3373821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 335/3373821
Therefore, the GCF of Fractions 7370/583,5695/5787 is 335/3373821
Least Common Multiple of 583,5787 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 583,5787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,5787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,5787) x common factors =1 x 1 = 1
LCM(583,5787) = ( 583 × 5787 ) / 1
LCM(583,5787) = 3373821 / 1
LCM(583,5787) = 3373821
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FAQs on GCF of Fractions of 7370/583, 5695/5787
1. What is the HCF of 7370,5695?
The HCF of 7370,5695 is 335
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 7370/583, 5695/5787?
Answer: GCF of Numerators as per given numbers 7370/583, 5695/5787 is
GCF of Numerators i.e. for 7370,5695 is 335
LCM of denominators i.e. for 583,5787 is 3373821.
Thus, GCF of Fractions is 335/3373821.Finally, GCF of Fractions for 7370/583, 5695/5787 is 335/3373821.