Highest Common Factor of 664, 2791, 9561 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 664, 2791, 9561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 664, 2791, 9561 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 664, 2791, 9561 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 664, 2791, 9561 is 1.
HCF(664, 2791, 9561) = 1
HCF of 664, 2791, 9561 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 664, 2791, 9561 is 1.
Highest Common Factor of 664,2791,9561 is 1
Step 1: Since 2791 > 664, we apply the division lemma to 2791 and 664, to get
2791 = 664 x 4 + 135
Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 135 and 664, to get
664 = 135 x 4 + 124
Step 3: We consider the new divisor 135 and the new remainder 124, and apply the division lemma to get
135 = 124 x 1 + 11
We consider the new divisor 124 and the new remainder 11,and apply the division lemma to get
124 = 11 x 11 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 664 and 2791 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(124,11) = HCF(135,124) = HCF(664,135) = HCF(2791,664) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9561 > 1, we apply the division lemma to 9561 and 1, to get
9561 = 1 x 9561 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9561 is 1
Notice that 1 = HCF(9561,1) .
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Frequently Asked Questions on HCF of 664, 2791, 9561 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 664, 2791, 9561?
Answer: HCF of 664, 2791, 9561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 664, 2791, 9561 using Euclid's Algorithm?
Answer: For arbitrary numbers 664, 2791, 9561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.