GCF of 9532/310, 7270/6996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9532/310, 7270/6996 i.e 2/1084380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9532/310, 7270/6996.
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 9532/310,7270/6996?
Given fractions are 9532/310,7270/6996
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 9532/310,7270/6996, numerators are 9532,7270
Denominators are 310,6996
The GCF of 9532,7270 is 2 .
LCM of 310,6996 is 1084380.
The greatest common factor of 9532/310,7270/6996 = [GCF of 9532,7270]/[LCM of 310,6996]= 2/1084380
Therefore, the GCF of 9532/310,7270/6996 is 2/1084380.
To find the highest common factor of 9532,7270, we have to find the factors of both numbers and list the highest common factor.
The factors of 9532 are 1, 2, 4, 2383, 4766, 9532
The factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270
The HCF of 9532,7270 is 2.
Lets's calculate GCF of 9532,7270
| 2 | 9532, 7270 |
| 4766, 3635 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9532,7270 By Matching Biggest Common Factor Method
Now, list down the factors of 9532
:1,2,4,2383,4766,9532
Now, list down the factors of 7270
:1,2,5,10,727,1454,3635,7270
Greatest Common Factor
We found the factors 9532,7270 . The biggest common factor number is the GCF number.
So the greatest common factor 9532,7270 is 2.
Lets's calculate LCM of 310,6996
| 2 | 310, 6996 |
| 155, 3498 |
∴ So the LCM of the given numbers is 2 x 155 x 3498 = 1084380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1084380
Therefore, the GCF of Fractions 9532/310,7270/6996 is 2/1084380
Least Common Multiple of 310,6996 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 310,6996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,6996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,6996) x common factors =2 x 1 = 2
LCM(310,6996) = ( 310 × 6996 ) / 2
LCM(310,6996) = 2168760 / 2
LCM(310,6996) = 1084380
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FAQs on GCF of Fractions of 9532/310, 7270/6996
1. What is the HCF of 9532,7270?
The HCF of 9532,7270 is 2
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 9532/310, 7270/6996?
Answer: GCF of Numerators as per given numbers 9532/310, 7270/6996 is
GCF of Numerators i.e. for 9532,7270 is 2
LCM of denominators i.e. for 310,6996 is 1084380.
Thus, GCF of Fractions is 2/1084380.Finally, GCF of Fractions for 9532/310, 7270/6996 is 2/1084380.