Highest Common Factor of 7257, 1062, 64594 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 7257, 1062, 64594 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7257, 1062, 64594 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 7257, 1062, 64594 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 7257, 1062, 64594 is 1.
HCF(7257, 1062, 64594) = 1
HCF of 7257, 1062, 64594 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7257, 1062, 64594 is 1.
Highest Common Factor of 7257,1062,64594 is 1
Step 1: Since 7257 > 1062, we apply the division lemma to 7257 and 1062, to get
7257 = 1062 x 6 + 885
Step 2: Since the reminder 1062 ≠ 0, we apply division lemma to 885 and 1062, to get
1062 = 885 x 1 + 177
Step 3: We consider the new divisor 885 and the new remainder 177, and apply the division lemma to get
885 = 177 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 177, the HCF of 7257 and 1062 is 177
Notice that 177 = HCF(885,177) = HCF(1062,885) = HCF(7257,1062) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64594 > 177, we apply the division lemma to 64594 and 177, to get
64594 = 177 x 364 + 166
Step 2: Since the reminder 177 ≠ 0, we apply division lemma to 166 and 177, to get
177 = 166 x 1 + 11
Step 3: We consider the new divisor 166 and the new remainder 11, and apply the division lemma to get
166 = 11 x 15 + 1
We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 177 and 64594 is 1
Notice that 1 = HCF(11,1) = HCF(166,11) = HCF(177,166) = HCF(64594,177) .
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Frequently Asked Questions on HCF of 7257, 1062, 64594 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 7257, 1062, 64594?
Answer: HCF of 7257, 1062, 64594 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7257, 1062, 64594 using Euclid's Algorithm?
Answer: For arbitrary numbers 7257, 1062, 64594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.