Highest Common Factor of 4889, 2858 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 4889, 2858 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4889, 2858 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 4889, 2858 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 4889, 2858 is 1.
HCF(4889, 2858) = 1
HCF of 4889, 2858 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4889, 2858 is 1.
Highest Common Factor of 4889,2858 is 1
Step 1: Since 4889 > 2858, we apply the division lemma to 4889 and 2858, to get
4889 = 2858 x 1 + 2031
Step 2: Since the reminder 2858 ≠ 0, we apply division lemma to 2031 and 2858, to get
2858 = 2031 x 1 + 827
Step 3: We consider the new divisor 2031 and the new remainder 827, and apply the division lemma to get
2031 = 827 x 2 + 377
We consider the new divisor 827 and the new remainder 377,and apply the division lemma to get
827 = 377 x 2 + 73
We consider the new divisor 377 and the new remainder 73,and apply the division lemma to get
377 = 73 x 5 + 12
We consider the new divisor 73 and the new remainder 12,and apply the division lemma to get
73 = 12 x 6 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4889 and 2858 is 1
Notice that 1 = HCF(12,1) = HCF(73,12) = HCF(377,73) = HCF(827,377) = HCF(2031,827) = HCF(2858,2031) = HCF(4889,2858) .
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Frequently Asked Questions on HCF of 4889, 2858 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 4889, 2858?
Answer: HCF of 4889, 2858 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4889, 2858 using Euclid's Algorithm?
Answer: For arbitrary numbers 4889, 2858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.