Highest Common Factor of 957, 589, 899 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 957, 589, 899 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 589, 899 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 957, 589, 899 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 957, 589, 899 is 1.
HCF(957, 589, 899) = 1
HCF of 957, 589, 899 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 957, 589, 899 is 1.
Highest Common Factor of 957,589,899 is 1
Step 1: Since 957 > 589, we apply the division lemma to 957 and 589, to get
957 = 589 x 1 + 368
Step 2: Since the reminder 589 ≠ 0, we apply division lemma to 368 and 589, to get
589 = 368 x 1 + 221
Step 3: We consider the new divisor 368 and the new remainder 221, and apply the division lemma to get
368 = 221 x 1 + 147
We consider the new divisor 221 and the new remainder 147,and apply the division lemma to get
221 = 147 x 1 + 74
We consider the new divisor 147 and the new remainder 74,and apply the division lemma to get
147 = 74 x 1 + 73
We consider the new divisor 74 and the new remainder 73,and apply the division lemma to get
74 = 73 x 1 + 1
We consider the new divisor 73 and the new remainder 1,and apply the division lemma to get
73 = 1 x 73 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 957 and 589 is 1
Notice that 1 = HCF(73,1) = HCF(74,73) = HCF(147,74) = HCF(221,147) = HCF(368,221) = HCF(589,368) = HCF(957,589) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 899 > 1, we apply the division lemma to 899 and 1, to get
899 = 1 x 899 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 899 is 1
Notice that 1 = HCF(899,1) .
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Frequently Asked Questions on HCF of 957, 589, 899 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 957, 589, 899?
Answer: HCF of 957, 589, 899 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 589, 899 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 589, 899 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.