GCF of 1967/506, 9880/6227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1967/506, 9880/6227 i.e 1/3150862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1967/506, 9880/6227.
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 1967/506,9880/6227?
Given fractions are 1967/506,9880/6227
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 1967/506,9880/6227, numerators are 1967,9880
Denominators are 506,6227
The GCF of 1967,9880 is 1 .
LCM of 506,6227 is 3150862.
The greatest common factor of 1967/506,9880/6227 = [GCF of 1967,9880]/[LCM of 506,6227]= 1/3150862
Therefore, the GCF of 1967/506,9880/6227 is 1/3150862.
To find the highest common factor of 1967,9880, we have to find the factors of both numbers and list the highest common factor.
The factors of 1967 are 1, 7, 281, 1967
The factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The HCF of 1967,9880 is 1.
Lets's calculate GCF of 1967,9880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1967,9880 By Matching Biggest Common Factor Method
Now, list down the factors of 1967
:1,7,281,1967
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Greatest Common Factor
We found the factors 1967,9880 . The biggest common factor number is the GCF number.
So the greatest common factor 1967,9880 is 1.
Lets's calculate LCM of 506,6227
Given numbers has no common factors except 1. So, there LCM is their product i.e 3150862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3150862
Therefore, the GCF of Fractions 1967/506,9880/6227 is 1/3150862
Least Common Multiple of 506,6227 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 506,6227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,6227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,6227) x common factors =1 x 1 = 1
LCM(506,6227) = ( 506 × 6227 ) / 1
LCM(506,6227) = 3150862 / 1
LCM(506,6227) = 3150862
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FAQs on GCF of Fractions of 1967/506, 9880/6227
1. What is the HCF of 1967,9880?
The HCF of 1967,9880 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 1967/506, 9880/6227?
Answer: GCF of Numerators as per given numbers 1967/506, 9880/6227 is
GCF of Numerators i.e. for 1967,9880 is 1
LCM of denominators i.e. for 506,6227 is 3150862.
Thus, GCF of Fractions is 1/3150862.Finally, GCF of Fractions for 1967/506, 9880/6227 is 1/3150862.