Highest Common Factor of 791, 59060 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 791, 59060 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 791, 59060 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 791, 59060 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 791, 59060 is 1.
HCF(791, 59060) = 1
HCF of 791, 59060 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 791, 59060 is 1.
Highest Common Factor of 791,59060 is 1
Step 1: Since 59060 > 791, we apply the division lemma to 59060 and 791, to get
59060 = 791 x 74 + 526
Step 2: Since the reminder 791 ≠ 0, we apply division lemma to 526 and 791, to get
791 = 526 x 1 + 265
Step 3: We consider the new divisor 526 and the new remainder 265, and apply the division lemma to get
526 = 265 x 1 + 261
We consider the new divisor 265 and the new remainder 261,and apply the division lemma to get
265 = 261 x 1 + 4
We consider the new divisor 261 and the new remainder 4,and apply the division lemma to get
261 = 4 x 65 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 791 and 59060 is 1
Notice that 1 = HCF(4,1) = HCF(261,4) = HCF(265,261) = HCF(526,265) = HCF(791,526) = HCF(59060,791) .
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Frequently Asked Questions on HCF of 791, 59060 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 791, 59060?
Answer: HCF of 791, 59060 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 791, 59060 using Euclid's Algorithm?
Answer: For arbitrary numbers 791, 59060 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.