Highest Common Factor of 6084, 6868 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 6084, 6868 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6084, 6868 is 4 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 6084, 6868 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 6084, 6868 is 4.
HCF(6084, 6868) = 4
HCF of 6084, 6868 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6084, 6868 is 4.
Highest Common Factor of 6084,6868 is 4
Step 1: Since 6868 > 6084, we apply the division lemma to 6868 and 6084, to get
6868 = 6084 x 1 + 784
Step 2: Since the reminder 6084 ≠ 0, we apply division lemma to 784 and 6084, to get
6084 = 784 x 7 + 596
Step 3: We consider the new divisor 784 and the new remainder 596, and apply the division lemma to get
784 = 596 x 1 + 188
We consider the new divisor 596 and the new remainder 188,and apply the division lemma to get
596 = 188 x 3 + 32
We consider the new divisor 188 and the new remainder 32,and apply the division lemma to get
188 = 32 x 5 + 28
We consider the new divisor 32 and the new remainder 28,and apply the division lemma to get
32 = 28 x 1 + 4
We consider the new divisor 28 and the new remainder 4,and apply the division lemma to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6084 and 6868 is 4
Notice that 4 = HCF(28,4) = HCF(32,28) = HCF(188,32) = HCF(596,188) = HCF(784,596) = HCF(6084,784) = HCF(6868,6084) .
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Frequently Asked Questions on HCF of 6084, 6868 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 6084, 6868?
Answer: HCF of 6084, 6868 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6084, 6868 using Euclid's Algorithm?
Answer: For arbitrary numbers 6084, 6868 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
