Highest Common Factor of 6126, 4184 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 6126, 4184 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6126, 4184 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 6126, 4184 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 6126, 4184 is 2.
HCF(6126, 4184) = 2
HCF of 6126, 4184 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6126, 4184 is 2.
Highest Common Factor of 6126,4184 is 2
Step 1: Since 6126 > 4184, we apply the division lemma to 6126 and 4184, to get
6126 = 4184 x 1 + 1942
Step 2: Since the reminder 4184 ≠ 0, we apply division lemma to 1942 and 4184, to get
4184 = 1942 x 2 + 300
Step 3: We consider the new divisor 1942 and the new remainder 300, and apply the division lemma to get
1942 = 300 x 6 + 142
We consider the new divisor 300 and the new remainder 142,and apply the division lemma to get
300 = 142 x 2 + 16
We consider the new divisor 142 and the new remainder 16,and apply the division lemma to get
142 = 16 x 8 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6126 and 4184 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(142,16) = HCF(300,142) = HCF(1942,300) = HCF(4184,1942) = HCF(6126,4184) .
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Frequently Asked Questions on HCF of 6126, 4184 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 6126, 4184?
Answer: HCF of 6126, 4184 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6126, 4184 using Euclid's Algorithm?
Answer: For arbitrary numbers 6126, 4184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.