Highest Common Factor of 6584, 3948 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 6584, 3948 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6584, 3948 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 6584, 3948 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 6584, 3948 is 4.
HCF(6584, 3948) = 4
HCF of 6584, 3948 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6584, 3948 is 4.
Highest Common Factor of 6584,3948 is 4
Step 1: Since 6584 > 3948, we apply the division lemma to 6584 and 3948, to get
6584 = 3948 x 1 + 2636
Step 2: Since the reminder 3948 ≠ 0, we apply division lemma to 2636 and 3948, to get
3948 = 2636 x 1 + 1312
Step 3: We consider the new divisor 2636 and the new remainder 1312, and apply the division lemma to get
2636 = 1312 x 2 + 12
We consider the new divisor 1312 and the new remainder 12,and apply the division lemma to get
1312 = 12 x 109 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6584 and 3948 is 4
Notice that 4 = HCF(12,4) = HCF(1312,12) = HCF(2636,1312) = HCF(3948,2636) = HCF(6584,3948) .
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Frequently Asked Questions on HCF of 6584, 3948 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 6584, 3948?
Answer: HCF of 6584, 3948 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6584, 3948 using Euclid's Algorithm?
Answer: For arbitrary numbers 6584, 3948 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.