GCF of 7570/278, 6087/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7570/278, 6087/769 i.e 1/213782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7570/278, 6087/769.
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 7570/278,6087/769?
Given fractions are 7570/278,6087/769
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 7570/278,6087/769, numerators are 7570,6087
Denominators are 278,769
The GCF of 7570,6087 is 1 .
LCM of 278,769 is 213782.
The greatest common factor of 7570/278,6087/769 = [GCF of 7570,6087]/[LCM of 278,769]= 1/213782
Therefore, the GCF of 7570/278,6087/769 is 1/213782.
To find the highest common factor of 7570,6087, we have to find the factors of both numbers and list the highest common factor.
The factors of 7570 are 1, 2, 5, 10, 757, 1514, 3785, 7570
The factors of 6087 are 1, 3, 2029, 6087
The HCF of 7570,6087 is 1.
Lets's calculate GCF of 7570,6087
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7570,6087 By Matching Biggest Common Factor Method
Now, list down the factors of 7570
:1,2,5,10,757,1514,3785,7570
Now, list down the factors of 6087
:1,3,2029,6087
Greatest Common Factor
We found the factors 7570,6087 . The biggest common factor number is the GCF number.
So the greatest common factor 7570,6087 is 1.
Lets's calculate LCM of 278,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 213782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213782
Therefore, the GCF of Fractions 7570/278,6087/769 is 1/213782
Least Common Multiple of 278,769 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 278,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,769) x common factors =1 x 1 = 1
LCM(278,769) = ( 278 × 769 ) / 1
LCM(278,769) = 213782 / 1
LCM(278,769) = 213782
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FAQs on GCF of Fractions of 7570/278, 6087/769
1. What is the HCF of 7570,6087?
The HCF of 7570,6087 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 7570/278, 6087/769?
Answer: GCF of Numerators as per given numbers 7570/278, 6087/769 is
GCF of Numerators i.e. for 7570,6087 is 1
LCM of denominators i.e. for 278,769 is 213782.
Thus, GCF of Fractions is 1/213782.Finally, GCF of Fractions for 7570/278, 6087/769 is 1/213782.