Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9159, 5192 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9159, 5192 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 9159, 5192 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 9159, 5192 is 1.
HCF(9159, 5192) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9159, 5192 is 1.
Step 1: Since 9159 > 5192, we apply the division lemma to 9159 and 5192, to get
9159 = 5192 x 1 + 3967
Step 2: Since the reminder 5192 ≠ 0, we apply division lemma to 3967 and 5192, to get
5192 = 3967 x 1 + 1225
Step 3: We consider the new divisor 3967 and the new remainder 1225, and apply the division lemma to get
3967 = 1225 x 3 + 292
We consider the new divisor 1225 and the new remainder 292,and apply the division lemma to get
1225 = 292 x 4 + 57
We consider the new divisor 292 and the new remainder 57,and apply the division lemma to get
292 = 57 x 5 + 7
We consider the new divisor 57 and the new remainder 7,and apply the division lemma to get
57 = 7 x 8 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9159 and 5192 is 1
Notice that 1 = HCF(7,1) = HCF(57,7) = HCF(292,57) = HCF(1225,292) = HCF(3967,1225) = HCF(5192,3967) = HCF(9159,5192) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 9159, 5192?
Answer: HCF of 9159, 5192 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9159, 5192 using Euclid's Algorithm?
Answer: For arbitrary numbers 9159, 5192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.