GCF of 1967/811, 7532/9997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1967/811, 7532/9997 i.e 7/8107567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1967/811, 7532/9997.
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 1967/811,7532/9997?
Given fractions are 1967/811,7532/9997
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 1967/811,7532/9997, numerators are 1967,7532
Denominators are 811,9997
The GCF of 1967,7532 is 7 .
LCM of 811,9997 is 8107567.
The greatest common factor of 1967/811,7532/9997 = [GCF of 1967,7532]/[LCM of 811,9997]= 7/8107567
Therefore, the GCF of 1967/811,7532/9997 is 7/8107567.
To find the highest common factor of 1967,7532, 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 7532 are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532
The HCF of 1967,7532 is 7.
Lets's calculate GCF of 1967,7532
| 7 | 1967, 7532 |
| 281, 1076 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1967,7532 By Matching Biggest Common Factor Method
Now, list down the factors of 1967
:1,7,281,1967
Now, list down the factors of 7532
:1,2,4,7,14,28,269,538,1076,1883,3766,7532
Greatest Common Factor
We found the factors 1967,7532 . The biggest common factor number is the GCF number.
So the greatest common factor 1967,7532 is 7.
Lets's calculate LCM of 811,9997
Given numbers has no common factors except 1. So, there LCM is their product i.e 8107567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/8107567
Therefore, the GCF of Fractions 1967/811,7532/9997 is 7/8107567
Least Common Multiple of 811,9997 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 811,9997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,9997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,9997) x common factors =1 x 1 = 1
LCM(811,9997) = ( 811 × 9997 ) / 1
LCM(811,9997) = 8107567 / 1
LCM(811,9997) = 8107567
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FAQs on GCF of Fractions of 1967/811, 7532/9997
1. What is the HCF of 1967,7532?
The HCF of 1967,7532 is 7
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 1967/811, 7532/9997?
Answer: GCF of Numerators as per given numbers 1967/811, 7532/9997 is
GCF of Numerators i.e. for 1967,7532 is 7
LCM of denominators i.e. for 811,9997 is 8107567.
Thus, GCF of Fractions is 7/8107567.Finally, GCF of Fractions for 1967/811, 7532/9997 is 7/8107567.