GCF of 1692/897, 8503/9214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1692/897, 8503/9214 i.e 1/8264958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1692/897, 8503/9214.
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 1692/897,8503/9214?
Given fractions are 1692/897,8503/9214
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 1692/897,8503/9214, numerators are 1692,8503
Denominators are 897,9214
The GCF of 1692,8503 is 1 .
LCM of 897,9214 is 8264958.
The greatest common factor of 1692/897,8503/9214 = [GCF of 1692,8503]/[LCM of 897,9214]= 1/8264958
Therefore, the GCF of 1692/897,8503/9214 is 1/8264958.
To find the highest common factor of 1692,8503, we have to find the factors of both numbers and list the highest common factor.
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The factors of 8503 are 1, 11, 773, 8503
The HCF of 1692,8503 is 1.
Lets's calculate GCF of 1692,8503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1692,8503 By Matching Biggest Common Factor Method
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Now, list down the factors of 8503
:1,11,773,8503
Greatest Common Factor
We found the factors 1692,8503 . The biggest common factor number is the GCF number.
So the greatest common factor 1692,8503 is 1.
Lets's calculate LCM of 897,9214
Given numbers has no common factors except 1. So, there LCM is their product i.e 8264958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8264958
Therefore, the GCF of Fractions 1692/897,8503/9214 is 1/8264958
Least Common Multiple of 897,9214 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 897,9214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,9214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,9214) x common factors =1 x 1 = 1
LCM(897,9214) = ( 897 × 9214 ) / 1
LCM(897,9214) = 8264958 / 1
LCM(897,9214) = 8264958
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FAQs on GCF of Fractions of 1692/897, 8503/9214
1. What is the HCF of 1692,8503?
The HCF of 1692,8503 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 1692/897, 8503/9214?
Answer: GCF of Numerators as per given numbers 1692/897, 8503/9214 is
GCF of Numerators i.e. for 1692,8503 is 1
LCM of denominators i.e. for 897,9214 is 8264958.
Thus, GCF of Fractions is 1/8264958.Finally, GCF of Fractions for 1692/897, 8503/9214 is 1/8264958.