Highest Common Factor of 568, 969, 633 using Euclid's algorithm
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 568, 969, 633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 568, 969, 633 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 568, 969, 633 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 568, 969, 633 is 1.
HCF(568, 969, 633) = 1
HCF of 568, 969, 633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 568, 969, 633 is 1.
Highest Common Factor of 568,969,633 is 1
Step 1: Since 969 > 568, we apply the division lemma to 969 and 568, to get
969 = 568 x 1 + 401
Step 2: Since the reminder 568 ≠ 0, we apply division lemma to 401 and 568, to get
568 = 401 x 1 + 167
Step 3: We consider the new divisor 401 and the new remainder 167, and apply the division lemma to get
401 = 167 x 2 + 67
We consider the new divisor 167 and the new remainder 67,and apply the division lemma to get
167 = 67 x 2 + 33
We consider the new divisor 67 and the new remainder 33,and apply the division lemma to get
67 = 33 x 2 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 568 and 969 is 1
Notice that 1 = HCF(33,1) = HCF(67,33) = HCF(167,67) = HCF(401,167) = HCF(568,401) = HCF(969,568) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 633 > 1, we apply the division lemma to 633 and 1, to get
633 = 1 x 633 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 633 is 1
Notice that 1 = HCF(633,1) .
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Frequently Asked Questions on HCF of 568, 969, 633 using Euclid's Algorithm
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 568, 969, 633?
Answer: HCF of 568, 969, 633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 568, 969, 633 using Euclid's Algorithm?
Answer: For arbitrary numbers 568, 969, 633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
