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 868, 533, 453 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 533, 453 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 868, 533, 453 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 868, 533, 453 is 1.
HCF(868, 533, 453) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 533, 453 is 1.
Step 1: Since 868 > 533, we apply the division lemma to 868 and 533, to get
868 = 533 x 1 + 335
Step 2: Since the reminder 533 ≠ 0, we apply division lemma to 335 and 533, to get
533 = 335 x 1 + 198
Step 3: We consider the new divisor 335 and the new remainder 198, and apply the division lemma to get
335 = 198 x 1 + 137
We consider the new divisor 198 and the new remainder 137,and apply the division lemma to get
198 = 137 x 1 + 61
We consider the new divisor 137 and the new remainder 61,and apply the division lemma to get
137 = 61 x 2 + 15
We consider the new divisor 61 and the new remainder 15,and apply the division lemma to get
61 = 15 x 4 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 868 and 533 is 1
Notice that 1 = HCF(15,1) = HCF(61,15) = HCF(137,61) = HCF(198,137) = HCF(335,198) = HCF(533,335) = HCF(868,533) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 453 > 1, we apply the division lemma to 453 and 1, to get
453 = 1 x 453 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 453 is 1
Notice that 1 = HCF(453,1) .
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 868, 533, 453?
Answer: HCF of 868, 533, 453 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 533, 453 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 533, 453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.