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 567, 883, 687 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 567, 883, 687 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 567, 883, 687 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 567, 883, 687 is 1.
HCF(567, 883, 687) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 567, 883, 687 is 1.
Step 1: Since 883 > 567, we apply the division lemma to 883 and 567, to get
883 = 567 x 1 + 316
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 316 and 567, to get
567 = 316 x 1 + 251
Step 3: We consider the new divisor 316 and the new remainder 251, and apply the division lemma to get
316 = 251 x 1 + 65
We consider the new divisor 251 and the new remainder 65,and apply the division lemma to get
251 = 65 x 3 + 56
We consider the new divisor 65 and the new remainder 56,and apply the division lemma to get
65 = 56 x 1 + 9
We consider the new divisor 56 and the new remainder 9,and apply the division lemma to get
56 = 9 x 6 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 567 and 883 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(56,9) = HCF(65,56) = HCF(251,65) = HCF(316,251) = HCF(567,316) = HCF(883,567) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 687 > 1, we apply the division lemma to 687 and 1, to get
687 = 1 x 687 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 687 is 1
Notice that 1 = HCF(687,1) .
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 567, 883, 687?
Answer: HCF of 567, 883, 687 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 567, 883, 687 using Euclid's Algorithm?
Answer: For arbitrary numbers 567, 883, 687 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.