Highest Common Factor of 7586, 6700 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 7586, 6700 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7586, 6700 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 7586, 6700 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 7586, 6700 is 2.
HCF(7586, 6700) = 2
HCF of 7586, 6700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7586, 6700 is 2.
Highest Common Factor of 7586,6700 is 2
Step 1: Since 7586 > 6700, we apply the division lemma to 7586 and 6700, to get
7586 = 6700 x 1 + 886
Step 2: Since the reminder 6700 ≠ 0, we apply division lemma to 886 and 6700, to get
6700 = 886 x 7 + 498
Step 3: We consider the new divisor 886 and the new remainder 498, and apply the division lemma to get
886 = 498 x 1 + 388
We consider the new divisor 498 and the new remainder 388,and apply the division lemma to get
498 = 388 x 1 + 110
We consider the new divisor 388 and the new remainder 110,and apply the division lemma to get
388 = 110 x 3 + 58
We consider the new divisor 110 and the new remainder 58,and apply the division lemma to get
110 = 58 x 1 + 52
We consider the new divisor 58 and the new remainder 52,and apply the division lemma to get
58 = 52 x 1 + 6
We consider the new divisor 52 and the new remainder 6,and apply the division lemma to get
52 = 6 x 8 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7586 and 6700 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(52,6) = HCF(58,52) = HCF(110,58) = HCF(388,110) = HCF(498,388) = HCF(886,498) = HCF(6700,886) = HCF(7586,6700) .
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Frequently Asked Questions on HCF of 7586, 6700 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 7586, 6700?
Answer: HCF of 7586, 6700 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7586, 6700 using Euclid's Algorithm?
Answer: For arbitrary numbers 7586, 6700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
