Highest Common Factor of 785, 572, 664, 33 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 785, 572, 664, 33 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 572, 664, 33 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 785, 572, 664, 33 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 785, 572, 664, 33 is 1.
HCF(785, 572, 664, 33) = 1
HCF of 785, 572, 664, 33 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 785, 572, 664, 33 is 1.
Highest Common Factor of 785,572,664,33 is 1
Step 1: Since 785 > 572, we apply the division lemma to 785 and 572, to get
785 = 572 x 1 + 213
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 213 and 572, to get
572 = 213 x 2 + 146
Step 3: We consider the new divisor 213 and the new remainder 146, and apply the division lemma to get
213 = 146 x 1 + 67
We consider the new divisor 146 and the new remainder 67,and apply the division lemma to get
146 = 67 x 2 + 12
We consider the new divisor 67 and the new remainder 12,and apply the division lemma to get
67 = 12 x 5 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 785 and 572 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(67,12) = HCF(146,67) = HCF(213,146) = HCF(572,213) = HCF(785,572) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 664 > 1, we apply the division lemma to 664 and 1, to get
664 = 1 x 664 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 664 is 1
Notice that 1 = HCF(664,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33 > 1, we apply the division lemma to 33 and 1, 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 1 and 33 is 1
Notice that 1 = HCF(33,1) .
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Frequently Asked Questions on HCF of 785, 572, 664, 33 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 785, 572, 664, 33?
Answer: HCF of 785, 572, 664, 33 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 572, 664, 33 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 572, 664, 33 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.