GCF of 9772/310, 2012/3770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9772/310, 2012/3770 i.e 4/116870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9772/310, 2012/3770.
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 9772/310,2012/3770?
Given fractions are 9772/310,2012/3770
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 9772/310,2012/3770, numerators are 9772,2012
Denominators are 310,3770
The GCF of 9772,2012 is 4 .
LCM of 310,3770 is 116870.
The greatest common factor of 9772/310,2012/3770 = [GCF of 9772,2012]/[LCM of 310,3770]= 4/116870
Therefore, the GCF of 9772/310,2012/3770 is 4/116870.
To find the highest common factor of 9772,2012, we have to find the factors of both numbers and list the highest common factor.
The factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772
The factors of 2012 are 1, 2, 4, 503, 1006, 2012
The HCF of 9772,2012 is 4.
Lets's calculate GCF of 9772,2012
| 2 | 9772, 2012 |
| 2 | 4886, 1006 |
| 2443, 503 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9772,2012 By Matching Biggest Common Factor Method
Now, list down the factors of 9772
:1,2,4,7,14,28,349,698,1396,2443,4886,9772
Now, list down the factors of 2012
:1,2,4,503,1006,2012
Greatest Common Factor
We found the factors 9772,2012 . The biggest common factor number is the GCF number.
So the greatest common factor 9772,2012 is 4.
Lets's calculate LCM of 310,3770
| 2 | 310, 3770 |
| 5 | 155, 1885 |
| 31, 377 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 377 = 116870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/116870
Therefore, the GCF of Fractions 9772/310,2012/3770 is 4/116870
Least Common Multiple of 310,3770 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 310,3770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,3770) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(310,3770) x common factors =10 x 1 = 10
LCM(310,3770) = ( 310 × 3770 ) / 10
LCM(310,3770) = 1168700 / 10
LCM(310,3770) = 116870
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FAQs on GCF of Fractions of 9772/310, 2012/3770
1. What is the HCF of 9772,2012?
The HCF of 9772,2012 is 4
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 9772/310, 2012/3770?
Answer: GCF of Numerators as per given numbers 9772/310, 2012/3770 is
GCF of Numerators i.e. for 9772,2012 is 4
LCM of denominators i.e. for 310,3770 is 116870.
Thus, GCF of Fractions is 4/116870.Finally, GCF of Fractions for 9772/310, 2012/3770 is 4/116870.