Highest Common Factor of 8544, 7657 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 8544, 7657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8544, 7657 is 1 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 8544, 7657 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 8544, 7657 is 1.
HCF(8544, 7657) = 1
HCF of 8544, 7657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8544, 7657 is 1.
Highest Common Factor of 8544,7657 is 1
Step 1: Since 8544 > 7657, we apply the division lemma to 8544 and 7657, to get
8544 = 7657 x 1 + 887
Step 2: Since the reminder 7657 ≠ 0, we apply division lemma to 887 and 7657, to get
7657 = 887 x 8 + 561
Step 3: We consider the new divisor 887 and the new remainder 561, and apply the division lemma to get
887 = 561 x 1 + 326
We consider the new divisor 561 and the new remainder 326,and apply the division lemma to get
561 = 326 x 1 + 235
We consider the new divisor 326 and the new remainder 235,and apply the division lemma to get
326 = 235 x 1 + 91
We consider the new divisor 235 and the new remainder 91,and apply the division lemma to get
235 = 91 x 2 + 53
We consider the new divisor 91 and the new remainder 53,and apply the division lemma to get
91 = 53 x 1 + 38
We consider the new divisor 53 and the new remainder 38,and apply the division lemma to get
53 = 38 x 1 + 15
We consider the new divisor 38 and the new remainder 15,and apply the division lemma to get
38 = 15 x 2 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8544 and 7657 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(38,15) = HCF(53,38) = HCF(91,53) = HCF(235,91) = HCF(326,235) = HCF(561,326) = HCF(887,561) = HCF(7657,887) = HCF(8544,7657) .
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Frequently Asked Questions on HCF of 8544, 7657 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 8544, 7657?
Answer: HCF of 8544, 7657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8544, 7657 using Euclid's Algorithm?
Answer: For arbitrary numbers 8544, 7657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
