Highest Common Factor of 913, 59538 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 913, 59538 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 913, 59538 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 913, 59538 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 913, 59538 is 1.
HCF(913, 59538) = 1
HCF of 913, 59538 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 913, 59538 is 1.
Highest Common Factor of 913,59538 is 1
Step 1: Since 59538 > 913, we apply the division lemma to 59538 and 913, to get
59538 = 913 x 65 + 193
Step 2: Since the reminder 913 ≠ 0, we apply division lemma to 193 and 913, to get
913 = 193 x 4 + 141
Step 3: We consider the new divisor 193 and the new remainder 141, and apply the division lemma to get
193 = 141 x 1 + 52
We consider the new divisor 141 and the new remainder 52,and apply the division lemma to get
141 = 52 x 2 + 37
We consider the new divisor 52 and the new remainder 37,and apply the division lemma to get
52 = 37 x 1 + 15
We consider the new divisor 37 and the new remainder 15,and apply the division lemma to get
37 = 15 x 2 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 913 and 59538 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(37,15) = HCF(52,37) = HCF(141,52) = HCF(193,141) = HCF(913,193) = HCF(59538,913) .
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Frequently Asked Questions on HCF of 913, 59538 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 913, 59538?
Answer: HCF of 913, 59538 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 913, 59538 using Euclid's Algorithm?
Answer: For arbitrary numbers 913, 59538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
