Highest Common Factor of 577, 62078 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 577, 62078 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 577, 62078 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 577, 62078 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 577, 62078 is 1.
HCF(577, 62078) = 1
HCF of 577, 62078 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 577, 62078 is 1.
Highest Common Factor of 577,62078 is 1
Step 1: Since 62078 > 577, we apply the division lemma to 62078 and 577, to get
62078 = 577 x 107 + 339
Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 339 and 577, to get
577 = 339 x 1 + 238
Step 3: We consider the new divisor 339 and the new remainder 238, and apply the division lemma to get
339 = 238 x 1 + 101
We consider the new divisor 238 and the new remainder 101,and apply the division lemma to get
238 = 101 x 2 + 36
We consider the new divisor 101 and the new remainder 36,and apply the division lemma to get
101 = 36 x 2 + 29
We consider the new divisor 36 and the new remainder 29,and apply the division lemma to get
36 = 29 x 1 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 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 577 and 62078 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(36,29) = HCF(101,36) = HCF(238,101) = HCF(339,238) = HCF(577,339) = HCF(62078,577) .
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Frequently Asked Questions on HCF of 577, 62078 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 577, 62078?
Answer: HCF of 577, 62078 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 577, 62078 using Euclid's Algorithm?
Answer: For arbitrary numbers 577, 62078 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
