Highest Common Factor of 876, 45511 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 876, 45511 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 876, 45511 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 876, 45511 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 876, 45511 is 1.
HCF(876, 45511) = 1
HCF of 876, 45511 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 876, 45511 is 1.
Highest Common Factor of 876,45511 is 1
Step 1: Since 45511 > 876, we apply the division lemma to 45511 and 876, to get
45511 = 876 x 51 + 835
Step 2: Since the reminder 876 ≠ 0, we apply division lemma to 835 and 876, to get
876 = 835 x 1 + 41
Step 3: We consider the new divisor 835 and the new remainder 41, and apply the division lemma to get
835 = 41 x 20 + 15
We consider the new divisor 41 and the new remainder 15,and apply the division lemma to get
41 = 15 x 2 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 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 876 and 45511 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(41,15) = HCF(835,41) = HCF(876,835) = HCF(45511,876) .
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Frequently Asked Questions on HCF of 876, 45511 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 876, 45511?
Answer: HCF of 876, 45511 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 876, 45511 using Euclid's Algorithm?
Answer: For arbitrary numbers 876, 45511 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.