Highest Common Factor of 878, 561 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 878, 561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 878, 561 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 878, 561 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 878, 561 is 1.
HCF(878, 561) = 1
HCF of 878, 561 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 878, 561 is 1.
Highest Common Factor of 878,561 is 1
Step 1: Since 878 > 561, we apply the division lemma to 878 and 561, to get
878 = 561 x 1 + 317
Step 2: Since the reminder 561 ≠ 0, we apply division lemma to 317 and 561, to get
561 = 317 x 1 + 244
Step 3: We consider the new divisor 317 and the new remainder 244, and apply the division lemma to get
317 = 244 x 1 + 73
We consider the new divisor 244 and the new remainder 73,and apply the division lemma to get
244 = 73 x 3 + 25
We consider the new divisor 73 and the new remainder 25,and apply the division lemma to get
73 = 25 x 2 + 23
We consider the new divisor 25 and the new remainder 23,and apply the division lemma to get
25 = 23 x 1 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 878 and 561 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(25,23) = HCF(73,25) = HCF(244,73) = HCF(317,244) = HCF(561,317) = HCF(878,561) .
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Frequently Asked Questions on HCF of 878, 561 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 878, 561?
Answer: HCF of 878, 561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 878, 561 using Euclid's Algorithm?
Answer: For arbitrary numbers 878, 561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.