Highest Common Factor of 5018, 2946 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 5018, 2946 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5018, 2946 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 5018, 2946 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 5018, 2946 is 2.
HCF(5018, 2946) = 2
HCF of 5018, 2946 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5018, 2946 is 2.
Highest Common Factor of 5018,2946 is 2
Step 1: Since 5018 > 2946, we apply the division lemma to 5018 and 2946, to get
5018 = 2946 x 1 + 2072
Step 2: Since the reminder 2946 ≠ 0, we apply division lemma to 2072 and 2946, to get
2946 = 2072 x 1 + 874
Step 3: We consider the new divisor 2072 and the new remainder 874, and apply the division lemma to get
2072 = 874 x 2 + 324
We consider the new divisor 874 and the new remainder 324,and apply the division lemma to get
874 = 324 x 2 + 226
We consider the new divisor 324 and the new remainder 226,and apply the division lemma to get
324 = 226 x 1 + 98
We consider the new divisor 226 and the new remainder 98,and apply the division lemma to get
226 = 98 x 2 + 30
We consider the new divisor 98 and the new remainder 30,and apply the division lemma to get
98 = 30 x 3 + 8
We consider the new divisor 30 and the new remainder 8,and apply the division lemma to get
30 = 8 x 3 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 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 5018 and 2946 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(30,8) = HCF(98,30) = HCF(226,98) = HCF(324,226) = HCF(874,324) = HCF(2072,874) = HCF(2946,2072) = HCF(5018,2946) .
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Frequently Asked Questions on HCF of 5018, 2946 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 5018, 2946?
Answer: HCF of 5018, 2946 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5018, 2946 using Euclid's Algorithm?
Answer: For arbitrary numbers 5018, 2946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.