Highest Common Factor of 572, 891, 236, 964 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 572, 891, 236, 964 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 572, 891, 236, 964 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 572, 891, 236, 964 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 572, 891, 236, 964 is 1.
HCF(572, 891, 236, 964) = 1
HCF of 572, 891, 236, 964 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 572, 891, 236, 964 is 1.
Highest Common Factor of 572,891,236,964 is 1
Step 1: Since 891 > 572, we apply the division lemma to 891 and 572, to get
891 = 572 x 1 + 319
Step 2: Since the reminder 572 ≠ 0, we apply division lemma to 319 and 572, to get
572 = 319 x 1 + 253
Step 3: We consider the new divisor 319 and the new remainder 253, and apply the division lemma to get
319 = 253 x 1 + 66
We consider the new divisor 253 and the new remainder 66,and apply the division lemma to get
253 = 66 x 3 + 55
We consider the new divisor 66 and the new remainder 55,and apply the division lemma to get
66 = 55 x 1 + 11
We consider the new divisor 55 and the new remainder 11,and apply the division lemma to get
55 = 11 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 572 and 891 is 11
Notice that 11 = HCF(55,11) = HCF(66,55) = HCF(253,66) = HCF(319,253) = HCF(572,319) = HCF(891,572) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 236 > 11, we apply the division lemma to 236 and 11, to get
236 = 11 x 21 + 5
Step 2: Since the reminder 11 ≠ 0, we apply division lemma to 5 and 11, to get
11 = 5 x 2 + 1
Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 11 and 236 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(236,11) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 964 > 1, we apply the division lemma to 964 and 1, to get
964 = 1 x 964 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 964 is 1
Notice that 1 = HCF(964,1) .
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Frequently Asked Questions on HCF of 572, 891, 236, 964 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 572, 891, 236, 964?
Answer: HCF of 572, 891, 236, 964 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 572, 891, 236, 964 using Euclid's Algorithm?
Answer: For arbitrary numbers 572, 891, 236, 964 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.