Highest Common Factor of 4891, 4075 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 4891, 4075 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4891, 4075 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 4891, 4075 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 4891, 4075 is 1.
HCF(4891, 4075) = 1
HCF of 4891, 4075 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4891, 4075 is 1.
Highest Common Factor of 4891,4075 is 1
Step 1: Since 4891 > 4075, we apply the division lemma to 4891 and 4075, to get
4891 = 4075 x 1 + 816
Step 2: Since the reminder 4075 ≠ 0, we apply division lemma to 816 and 4075, to get
4075 = 816 x 4 + 811
Step 3: We consider the new divisor 816 and the new remainder 811, and apply the division lemma to get
816 = 811 x 1 + 5
We consider the new divisor 811 and the new remainder 5,and apply the division lemma to get
811 = 5 x 162 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4891 and 4075 is 1
Notice that 1 = HCF(5,1) = HCF(811,5) = HCF(816,811) = HCF(4075,816) = HCF(4891,4075) .
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Frequently Asked Questions on HCF of 4891, 4075 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 4891, 4075?
Answer: HCF of 4891, 4075 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4891, 4075 using Euclid's Algorithm?
Answer: For arbitrary numbers 4891, 4075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.