GCF of 9474/153, 7506/7628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9474/153, 7506/7628 i.e 6/1167084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9474/153, 7506/7628.
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 9474/153,7506/7628?
Given fractions are 9474/153,7506/7628
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 9474/153,7506/7628, numerators are 9474,7506
Denominators are 153,7628
The GCF of 9474,7506 is 6 .
LCM of 153,7628 is 1167084.
The greatest common factor of 9474/153,7506/7628 = [GCF of 9474,7506]/[LCM of 153,7628]= 6/1167084
Therefore, the GCF of 9474/153,7506/7628 is 6/1167084.
To find the highest common factor of 9474,7506, we have to find the factors of both numbers and list the highest common factor.
The factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474
The factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506
The HCF of 9474,7506 is 6.
Lets's calculate GCF of 9474,7506
| 2 | 9474, 7506 |
| 3 | 4737, 3753 |
| 1579, 1251 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9474,7506 By Matching Biggest Common Factor Method
Now, list down the factors of 9474
:1,2,3,6,1579,3158,4737,9474
Now, list down the factors of 7506
:1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Greatest Common Factor
We found the factors 9474,7506 . The biggest common factor number is the GCF number.
So the greatest common factor 9474,7506 is 6.
Lets's calculate LCM of 153,7628
Given numbers has no common factors except 1. So, there LCM is their product i.e 1167084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1167084
Therefore, the GCF of Fractions 9474/153,7506/7628 is 6/1167084
Least Common Multiple of 153,7628 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 153,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,7628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,7628) x common factors =1 x 1 = 1
LCM(153,7628) = ( 153 × 7628 ) / 1
LCM(153,7628) = 1167084 / 1
LCM(153,7628) = 1167084
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FAQs on GCF of Fractions of 9474/153, 7506/7628
1. What is the HCF of 9474,7506?
The HCF of 9474,7506 is 6
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 9474/153, 7506/7628?
Answer: GCF of Numerators as per given numbers 9474/153, 7506/7628 is
GCF of Numerators i.e. for 9474,7506 is 6
LCM of denominators i.e. for 153,7628 is 1167084.
Thus, GCF of Fractions is 6/1167084.Finally, GCF of Fractions for 9474/153, 7506/7628 is 6/1167084.