GCF of 1567/657, 8722/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1567/657, 8722/210 i.e 1/45990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1567/657, 8722/210.
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 1567/657,8722/210?
Given fractions are 1567/657,8722/210
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 1567/657,8722/210, numerators are 1567,8722
Denominators are 657,210
The GCF of 1567,8722 is 1 .
LCM of 657,210 is 45990.
The greatest common factor of 1567/657,8722/210 = [GCF of 1567,8722]/[LCM of 657,210]= 1/45990
Therefore, the GCF of 1567/657,8722/210 is 1/45990.
To find the highest common factor of 1567,8722, we have to find the factors of both numbers and list the highest common factor.
The factors of 1567 are 1, 1567
The factors of 8722 are 1, 2, 7, 14, 49, 89, 98, 178, 623, 1246, 4361, 8722
The HCF of 1567,8722 is 1.
Lets's calculate GCF of 1567,8722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1567,8722 By Matching Biggest Common Factor Method
Now, list down the factors of 1567
:1,1567
Now, list down the factors of 8722
:1,2,7,14,49,89,98,178,623,1246,4361,8722
Greatest Common Factor
We found the factors 1567,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 1567,8722 is 1.
Lets's calculate LCM of 657,210
| 3 | 657, 210 |
| 219, 70 |
∴ So the LCM of the given numbers is 3 x 219 x 70 = 45990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45990
Therefore, the GCF of Fractions 1567/657,8722/210 is 1/45990
Least Common Multiple of 657,210 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 657,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,210) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(657,210) x common factors =3 x 1 = 3
LCM(657,210) = ( 657 × 210 ) / 3
LCM(657,210) = 137970 / 3
LCM(657,210) = 45990
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FAQs on GCF of Fractions of 1567/657, 8722/210
1. What is the HCF of 1567,8722?
The HCF of 1567,8722 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 1567/657, 8722/210?
Answer: GCF of Numerators as per given numbers 1567/657, 8722/210 is
GCF of Numerators i.e. for 1567,8722 is 1
LCM of denominators i.e. for 657,210 is 45990.
Thus, GCF of Fractions is 1/45990.Finally, GCF of Fractions for 1567/657, 8722/210 is 1/45990.