Highest Common Factor of 876, 5983 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, 5983 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 876, 5983 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, 5983 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, 5983 is 1.
HCF(876, 5983) = 1
HCF of 876, 5983 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, 5983 is 1.
Highest Common Factor of 876,5983 is 1
Step 1: Since 5983 > 876, we apply the division lemma to 5983 and 876, to get
5983 = 876 x 6 + 727
Step 2: Since the reminder 876 ≠ 0, we apply division lemma to 727 and 876, to get
876 = 727 x 1 + 149
Step 3: We consider the new divisor 727 and the new remainder 149, and apply the division lemma to get
727 = 149 x 4 + 131
We consider the new divisor 149 and the new remainder 131,and apply the division lemma to get
149 = 131 x 1 + 18
We consider the new divisor 131 and the new remainder 18,and apply the division lemma to get
131 = 18 x 7 + 5
We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get
18 = 5 x 3 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 876 and 5983 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(131,18) = HCF(149,131) = HCF(727,149) = HCF(876,727) = HCF(5983,876) .
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Frequently Asked Questions on HCF of 876, 5983 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, 5983?
Answer: HCF of 876, 5983 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 876, 5983 using Euclid's Algorithm?
Answer: For arbitrary numbers 876, 5983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.