Highest Common Factor of 561, 358, 730 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 561, 358, 730 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 561, 358, 730 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 561, 358, 730 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 561, 358, 730 is 1.
HCF(561, 358, 730) = 1
HCF of 561, 358, 730 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 561, 358, 730 is 1.
Highest Common Factor of 561,358,730 is 1
Step 1: Since 561 > 358, we apply the division lemma to 561 and 358, to get
561 = 358 x 1 + 203
Step 2: Since the reminder 358 ≠ 0, we apply division lemma to 203 and 358, to get
358 = 203 x 1 + 155
Step 3: We consider the new divisor 203 and the new remainder 155, and apply the division lemma to get
203 = 155 x 1 + 48
We consider the new divisor 155 and the new remainder 48,and apply the division lemma to get
155 = 48 x 3 + 11
We consider the new divisor 48 and the new remainder 11,and apply the division lemma to get
48 = 11 x 4 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 561 and 358 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(48,11) = HCF(155,48) = HCF(203,155) = HCF(358,203) = HCF(561,358) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 730 > 1, we apply the division lemma to 730 and 1, to get
730 = 1 x 730 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 730 is 1
Notice that 1 = HCF(730,1) .
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Frequently Asked Questions on HCF of 561, 358, 730 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 561, 358, 730?
Answer: HCF of 561, 358, 730 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 561, 358, 730 using Euclid's Algorithm?
Answer: For arbitrary numbers 561, 358, 730 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.