Highest Common Factor of 358, 577, 694 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 358, 577, 694 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 358, 577, 694 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 358, 577, 694 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 358, 577, 694 is 1.
HCF(358, 577, 694) = 1
HCF of 358, 577, 694 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 358, 577, 694 is 1.
Highest Common Factor of 358,577,694 is 1
Step 1: Since 577 > 358, we apply the division lemma to 577 and 358, to get
577 = 358 x 1 + 219
Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 219 and 358, to get
358 = 219 x 1 + 139
Step 3: We consider the new divisor 219 and the new remainder 139, and apply the division lemma to get
219 = 139 x 1 + 80
We consider the new divisor 139 and the new remainder 80,and apply the division lemma to get
139 = 80 x 1 + 59
We consider the new divisor 80 and the new remainder 59,and apply the division lemma to get
80 = 59 x 1 + 21
We consider the new divisor 59 and the new remainder 21,and apply the division lemma to get
59 = 21 x 2 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 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 358 and 577 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(59,21) = HCF(80,59) = HCF(139,80) = HCF(219,139) = HCF(358,219) = HCF(577,358) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 694 > 1, we apply the division lemma to 694 and 1, to get
694 = 1 x 694 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 694 is 1
Notice that 1 = HCF(694,1) .
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Frequently Asked Questions on HCF of 358, 577, 694 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 358, 577, 694?
Answer: HCF of 358, 577, 694 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 358, 577, 694 using Euclid's Algorithm?
Answer: For arbitrary numbers 358, 577, 694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.