Highest Common Factor of 971, 288, 958 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 971, 288, 958 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 971, 288, 958 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 971, 288, 958 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 971, 288, 958 is 1.
HCF(971, 288, 958) = 1
HCF of 971, 288, 958 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 971, 288, 958 is 1.
Highest Common Factor of 971,288,958 is 1
Step 1: Since 971 > 288, we apply the division lemma to 971 and 288, to get
971 = 288 x 3 + 107
Step 2: Since the reminder 288 ≠ 0, we apply division lemma to 107 and 288, to get
288 = 107 x 2 + 74
Step 3: We consider the new divisor 107 and the new remainder 74, and apply the division lemma to get
107 = 74 x 1 + 33
We consider the new divisor 74 and the new remainder 33,and apply the division lemma to get
74 = 33 x 2 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 971 and 288 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(74,33) = HCF(107,74) = HCF(288,107) = HCF(971,288) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 958 > 1, we apply the division lemma to 958 and 1, to get
958 = 1 x 958 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 958 is 1
Notice that 1 = HCF(958,1) .
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Frequently Asked Questions on HCF of 971, 288, 958 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 971, 288, 958?
Answer: HCF of 971, 288, 958 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 971, 288, 958 using Euclid's Algorithm?
Answer: For arbitrary numbers 971, 288, 958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
