Highest Common Factor of 561, 877, 492 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 561, 877, 492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 877, 492 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 561, 877, 492 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 561, 877, 492 is 1.
HCF(561, 877, 492) = 1
HCF of 561, 877, 492 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 561, 877, 492 is 1.
Highest Common Factor of 561,877,492 is 1
Step 1: Since 877 > 561, we apply the division lemma to 877 and 561, to get
877 = 561 x 1 + 316
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 316 and 561, to get
561 = 316 x 1 + 245
Step 3: We consider the new divisor 316 and the new remainder 245, and apply the division lemma to get
316 = 245 x 1 + 71
We consider the new divisor 245 and the new remainder 71,and apply the division lemma to get
245 = 71 x 3 + 32
We consider the new divisor 71 and the new remainder 32,and apply the division lemma to get
71 = 32 x 2 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 561 and 877 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(71,32) = HCF(245,71) = HCF(316,245) = HCF(561,316) = HCF(877,561) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 492 > 1, we apply the division lemma to 492 and 1, to get
492 = 1 x 492 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 492 is 1
Notice that 1 = HCF(492,1) .
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Frequently Asked Questions on HCF of 561, 877, 492 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 561, 877, 492?
Answer: HCF of 561, 877, 492 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 877, 492 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 877, 492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.