GCF of 1076/522, 7167/9890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1076/522, 7167/9890 i.e 1/2581290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1076/522, 7167/9890.
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 1076/522,7167/9890?
Given fractions are 1076/522,7167/9890
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 1076/522,7167/9890, numerators are 1076,7167
Denominators are 522,9890
The GCF of 1076,7167 is 1 .
LCM of 522,9890 is 2581290.
The greatest common factor of 1076/522,7167/9890 = [GCF of 1076,7167]/[LCM of 522,9890]= 1/2581290
Therefore, the GCF of 1076/522,7167/9890 is 1/2581290.
To find the highest common factor of 1076,7167, we have to find the factors of both numbers and list the highest common factor.
The factors of 1076 are 1, 2, 4, 269, 538, 1076
The factors of 7167 are 1, 3, 2389, 7167
The HCF of 1076,7167 is 1.
Lets's calculate GCF of 1076,7167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1076,7167 By Matching Biggest Common Factor Method
Now, list down the factors of 1076
:1,2,4,269,538,1076
Now, list down the factors of 7167
:1,3,2389,7167
Greatest Common Factor
We found the factors 1076,7167 . The biggest common factor number is the GCF number.
So the greatest common factor 1076,7167 is 1.
Lets's calculate LCM of 522,9890
| 2 | 522, 9890 |
| 261, 4945 |
∴ So the LCM of the given numbers is 2 x 261 x 4945 = 2581290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2581290
Therefore, the GCF of Fractions 1076/522,7167/9890 is 1/2581290
Least Common Multiple of 522,9890 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 522,9890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,9890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,9890) x common factors =2 x 1 = 2
LCM(522,9890) = ( 522 × 9890 ) / 2
LCM(522,9890) = 5162580 / 2
LCM(522,9890) = 2581290
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FAQs on GCF of Fractions of 1076/522, 7167/9890
1. What is the HCF of 1076,7167?
The HCF of 1076,7167 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 1076/522, 7167/9890?
Answer: GCF of Numerators as per given numbers 1076/522, 7167/9890 is
GCF of Numerators i.e. for 1076,7167 is 1
LCM of denominators i.e. for 522,9890 is 2581290.
Thus, GCF of Fractions is 1/2581290.Finally, GCF of Fractions for 1076/522, 7167/9890 is 1/2581290.