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 403, 171, 863, 99 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 403, 171, 863, 99 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 403, 171, 863, 99 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 403, 171, 863, 99 is 1.
HCF(403, 171, 863, 99) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 403, 171, 863, 99 is 1.
Step 1: Since 403 > 171, we apply the division lemma to 403 and 171, to get
403 = 171 x 2 + 61
Step 2: Since the reminder 171 ≠ 0, we apply division lemma to 61 and 171, to get
171 = 61 x 2 + 49
Step 3: We consider the new divisor 61 and the new remainder 49, and apply the division lemma to get
61 = 49 x 1 + 12
We consider the new divisor 49 and the new remainder 12,and apply the division lemma to get
49 = 12 x 4 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 403 and 171 is 1
Notice that 1 = HCF(12,1) = HCF(49,12) = HCF(61,49) = HCF(171,61) = HCF(403,171) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 863 > 1, we apply the division lemma to 863 and 1, to get
863 = 1 x 863 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 863 is 1
Notice that 1 = HCF(863,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99 > 1, we apply the division lemma to 99 and 1, to get
99 = 1 x 99 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 99 is 1
Notice that 1 = HCF(99,1) .
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 403, 171, 863, 99?
Answer: HCF of 403, 171, 863, 99 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 403, 171, 863, 99 using Euclid's Algorithm?
Answer: For arbitrary numbers 403, 171, 863, 99 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.