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 198, 9503, 6358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 198, 9503, 6358 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 198, 9503, 6358 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 198, 9503, 6358 is 1.
HCF(198, 9503, 6358) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 198, 9503, 6358 is 1.
Step 1: Since 9503 > 198, we apply the division lemma to 9503 and 198, to get
9503 = 198 x 47 + 197
Step 2: Since the reminder 198 ≠ 0, we apply division lemma to 197 and 198, to get
198 = 197 x 1 + 1
Step 3: We consider the new divisor 197 and the new remainder 1, and apply the division lemma to get
197 = 1 x 197 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 198 and 9503 is 1
Notice that 1 = HCF(197,1) = HCF(198,197) = HCF(9503,198) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6358 > 1, we apply the division lemma to 6358 and 1, to get
6358 = 1 x 6358 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6358 is 1
Notice that 1 = HCF(6358,1) .
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 198, 9503, 6358?
Answer: HCF of 198, 9503, 6358 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 198, 9503, 6358 using Euclid's Algorithm?
Answer: For arbitrary numbers 198, 9503, 6358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.