Highest Common Factor of 6584, 6252 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, 6252 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6584, 6252 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, 6252 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, 6252 is 4.
HCF(6584, 6252) = 4
HCF of 6584, 6252 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, 6252 is 4.
Highest Common Factor of 6584,6252 is 4
Step 1: Since 6584 > 6252, we apply the division lemma to 6584 and 6252, to get
6584 = 6252 x 1 + 332
Step 2: Since the reminder 6252 ≠ 0, we apply division lemma to 332 and 6252, to get
6252 = 332 x 18 + 276
Step 3: We consider the new divisor 332 and the new remainder 276, and apply the division lemma to get
332 = 276 x 1 + 56
We consider the new divisor 276 and the new remainder 56,and apply the division lemma to get
276 = 56 x 4 + 52
We consider the new divisor 56 and the new remainder 52,and apply the division lemma to get
56 = 52 x 1 + 4
We consider the new divisor 52 and the new remainder 4,and apply the division lemma to get
52 = 4 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6584 and 6252 is 4
Notice that 4 = HCF(52,4) = HCF(56,52) = HCF(276,56) = HCF(332,276) = HCF(6252,332) = HCF(6584,6252) .
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Frequently Asked Questions on HCF of 6584, 6252 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, 6252?
Answer: HCF of 6584, 6252 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6584, 6252 using Euclid's Algorithm?
Answer: For arbitrary numbers 6584, 6252 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
