GCF of 8506/392, 8123/553
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8506/392, 8123/553 i.e 1/30968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8506/392, 8123/553.
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 8506/392,8123/553?
Given fractions are 8506/392,8123/553
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 8506/392,8123/553, numerators are 8506,8123
Denominators are 392,553
The GCF of 8506,8123 is 1 .
LCM of 392,553 is 30968.
The greatest common factor of 8506/392,8123/553 = [GCF of 8506,8123]/[LCM of 392,553]= 1/30968
Therefore, the GCF of 8506/392,8123/553 is 1/30968.
To find the highest common factor of 8506,8123, we have to find the factors of both numbers and list the highest common factor.
The factors of 8506 are 1, 2, 4253, 8506
The factors of 8123 are 1, 8123
The HCF of 8506,8123 is 1.
Lets's calculate GCF of 8506,8123
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8506,8123 By Matching Biggest Common Factor Method
Now, list down the factors of 8506
:1,2,4253,8506
Now, list down the factors of 8123
:1,8123
Greatest Common Factor
We found the factors 8506,8123 . The biggest common factor number is the GCF number.
So the greatest common factor 8506,8123 is 1.
Lets's calculate LCM of 392,553
| 7 | 392, 553 |
| 56, 79 |
∴ So the LCM of the given numbers is 7 x 56 x 79 = 30968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30968
Therefore, the GCF of Fractions 8506/392,8123/553 is 1/30968
Least Common Multiple of 392,553 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 392,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,553) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(392,553) x common factors =7 x 1 = 7
LCM(392,553) = ( 392 × 553 ) / 7
LCM(392,553) = 216776 / 7
LCM(392,553) = 30968
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FAQs on GCF of Fractions of 8506/392, 8123/553
1. What is the HCF of 8506,8123?
The HCF of 8506,8123 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 8506/392, 8123/553?
Answer: GCF of Numerators as per given numbers 8506/392, 8123/553 is
GCF of Numerators i.e. for 8506,8123 is 1
LCM of denominators i.e. for 392,553 is 30968.
Thus, GCF of Fractions is 1/30968.Finally, GCF of Fractions for 8506/392, 8123/553 is 1/30968.