GCF of 3970/761, 9527/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3970/761, 9527/284 i.e 1/216124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3970/761, 9527/284.
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 3970/761,9527/284?
Given fractions are 3970/761,9527/284
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 3970/761,9527/284, numerators are 3970,9527
Denominators are 761,284
The GCF of 3970,9527 is 1 .
LCM of 761,284 is 216124.
The greatest common factor of 3970/761,9527/284 = [GCF of 3970,9527]/[LCM of 761,284]= 1/216124
Therefore, the GCF of 3970/761,9527/284 is 1/216124.
To find the highest common factor of 3970,9527, we have to find the factors of both numbers and list the highest common factor.
The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970
The factors of 9527 are 1, 7, 1361, 9527
The HCF of 3970,9527 is 1.
Lets's calculate GCF of 3970,9527
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3970,9527 By Matching Biggest Common Factor Method
Now, list down the factors of 3970
:1,2,5,10,397,794,1985,3970
Now, list down the factors of 9527
:1,7,1361,9527
Greatest Common Factor
We found the factors 3970,9527 . The biggest common factor number is the GCF number.
So the greatest common factor 3970,9527 is 1.
Lets's calculate LCM of 761,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 216124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216124
Therefore, the GCF of Fractions 3970/761,9527/284 is 1/216124
Least Common Multiple of 761,284 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 761,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,284) x common factors =1 x 1 = 1
LCM(761,284) = ( 761 × 284 ) / 1
LCM(761,284) = 216124 / 1
LCM(761,284) = 216124
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FAQs on GCF of Fractions of 3970/761, 9527/284
1. What is the HCF of 3970,9527?
The HCF of 3970,9527 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 3970/761, 9527/284?
Answer: GCF of Numerators as per given numbers 3970/761, 9527/284 is
GCF of Numerators i.e. for 3970,9527 is 1
LCM of denominators i.e. for 761,284 is 216124.
Thus, GCF of Fractions is 1/216124.Finally, GCF of Fractions for 3970/761, 9527/284 is 1/216124.