Highest Common Factor of 4906, 2876 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 4906, 2876 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4906, 2876 is 2 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 4906, 2876 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 4906, 2876 is 2.
HCF(4906, 2876) = 2
HCF of 4906, 2876 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4906, 2876 is 2.
Highest Common Factor of 4906,2876 is 2
Step 1: Since 4906 > 2876, we apply the division lemma to 4906 and 2876, to get
4906 = 2876 x 1 + 2030
Step 2: Since the reminder 2876 ≠ 0, we apply division lemma to 2030 and 2876, to get
2876 = 2030 x 1 + 846
Step 3: We consider the new divisor 2030 and the new remainder 846, and apply the division lemma to get
2030 = 846 x 2 + 338
We consider the new divisor 846 and the new remainder 338,and apply the division lemma to get
846 = 338 x 2 + 170
We consider the new divisor 338 and the new remainder 170,and apply the division lemma to get
338 = 170 x 1 + 168
We consider the new divisor 170 and the new remainder 168,and apply the division lemma to get
170 = 168 x 1 + 2
We consider the new divisor 168 and the new remainder 2,and apply the division lemma to get
168 = 2 x 84 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4906 and 2876 is 2
Notice that 2 = HCF(168,2) = HCF(170,168) = HCF(338,170) = HCF(846,338) = HCF(2030,846) = HCF(2876,2030) = HCF(4906,2876) .
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Frequently Asked Questions on HCF of 4906, 2876 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 4906, 2876?
Answer: HCF of 4906, 2876 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4906, 2876 using Euclid's Algorithm?
Answer: For arbitrary numbers 4906, 2876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.