GCF of 747/753, 9647/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 747/753, 9647/412 i.e 1/310236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/753, 9647/412.
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 747/753,9647/412?
Given fractions are 747/753,9647/412
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 747/753,9647/412, numerators are 747,9647
Denominators are 753,412
The GCF of 747,9647 is 1 .
LCM of 753,412 is 310236.
The greatest common factor of 747/753,9647/412 = [GCF of 747,9647]/[LCM of 753,412]= 1/310236
Therefore, the GCF of 747/753,9647/412 is 1/310236.
To find the highest common factor of 747,9647, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 9647 are 1, 11, 877, 9647
The HCF of 747,9647 is 1.
Lets's calculate GCF of 747,9647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 747,9647 By Matching Biggest Common Factor Method
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 9647
:1,11,877,9647
Greatest Common Factor
We found the factors 747,9647 . The biggest common factor number is the GCF number.
So the greatest common factor 747,9647 is 1.
Lets's calculate LCM of 753,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 310236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310236
Therefore, the GCF of Fractions 747/753,9647/412 is 1/310236
Least Common Multiple of 753,412 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 753,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,412) x common factors =1 x 1 = 1
LCM(753,412) = ( 753 × 412 ) / 1
LCM(753,412) = 310236 / 1
LCM(753,412) = 310236
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FAQs on GCF of Fractions of 747/753, 9647/412
1. What is the HCF of 747,9647?
The HCF of 747,9647 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 747/753, 9647/412?
Answer: GCF of Numerators as per given numbers 747/753, 9647/412 is
GCF of Numerators i.e. for 747,9647 is 1
LCM of denominators i.e. for 753,412 is 310236.
Thus, GCF of Fractions is 1/310236.Finally, GCF of Fractions for 747/753, 9647/412 is 1/310236.