Highest Common Factor of 4916, 3006 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 4916, 3006 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4916, 3006 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 4916, 3006 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 4916, 3006 is 2.
HCF(4916, 3006) = 2
HCF of 4916, 3006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4916, 3006 is 2.
Highest Common Factor of 4916,3006 is 2
Step 1: Since 4916 > 3006, we apply the division lemma to 4916 and 3006, to get
4916 = 3006 x 1 + 1910
Step 2: Since the reminder 3006 ≠ 0, we apply division lemma to 1910 and 3006, to get
3006 = 1910 x 1 + 1096
Step 3: We consider the new divisor 1910 and the new remainder 1096, and apply the division lemma to get
1910 = 1096 x 1 + 814
We consider the new divisor 1096 and the new remainder 814,and apply the division lemma to get
1096 = 814 x 1 + 282
We consider the new divisor 814 and the new remainder 282,and apply the division lemma to get
814 = 282 x 2 + 250
We consider the new divisor 282 and the new remainder 250,and apply the division lemma to get
282 = 250 x 1 + 32
We consider the new divisor 250 and the new remainder 32,and apply the division lemma to get
250 = 32 x 7 + 26
We consider the new divisor 32 and the new remainder 26,and apply the division lemma to get
32 = 26 x 1 + 6
We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4916 and 3006 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(250,32) = HCF(282,250) = HCF(814,282) = HCF(1096,814) = HCF(1910,1096) = HCF(3006,1910) = HCF(4916,3006) .
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Frequently Asked Questions on HCF of 4916, 3006 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 4916, 3006?
Answer: HCF of 4916, 3006 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4916, 3006 using Euclid's Algorithm?
Answer: For arbitrary numbers 4916, 3006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.