Highest Common Factor of 5981, 4895 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 5981, 4895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5981, 4895 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 5981, 4895 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 5981, 4895 is 1.
HCF(5981, 4895) = 1
HCF of 5981, 4895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5981, 4895 is 1.
Highest Common Factor of 5981,4895 is 1
Step 1: Since 5981 > 4895, we apply the division lemma to 5981 and 4895, to get
5981 = 4895 x 1 + 1086
Step 2: Since the reminder 4895 ≠ 0, we apply division lemma to 1086 and 4895, to get
4895 = 1086 x 4 + 551
Step 3: We consider the new divisor 1086 and the new remainder 551, and apply the division lemma to get
1086 = 551 x 1 + 535
We consider the new divisor 551 and the new remainder 535,and apply the division lemma to get
551 = 535 x 1 + 16
We consider the new divisor 535 and the new remainder 16,and apply the division lemma to get
535 = 16 x 33 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 5981 and 4895 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(535,16) = HCF(551,535) = HCF(1086,551) = HCF(4895,1086) = HCF(5981,4895) .
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Frequently Asked Questions on HCF of 5981, 4895 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 5981, 4895?
Answer: HCF of 5981, 4895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5981, 4895 using Euclid's Algorithm?
Answer: For arbitrary numbers 5981, 4895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.