Highest Common Factor of 926, 571, 95 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 926, 571, 95 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 926, 571, 95 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 926, 571, 95 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 926, 571, 95 is 1.
HCF(926, 571, 95) = 1
HCF of 926, 571, 95 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 926, 571, 95 is 1.
Highest Common Factor of 926,571,95 is 1
Step 1: Since 926 > 571, we apply the division lemma to 926 and 571, to get
926 = 571 x 1 + 355
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 355 and 571, to get
571 = 355 x 1 + 216
Step 3: We consider the new divisor 355 and the new remainder 216, and apply the division lemma to get
355 = 216 x 1 + 139
We consider the new divisor 216 and the new remainder 139,and apply the division lemma to get
216 = 139 x 1 + 77
We consider the new divisor 139 and the new remainder 77,and apply the division lemma to get
139 = 77 x 1 + 62
We consider the new divisor 77 and the new remainder 62,and apply the division lemma to get
77 = 62 x 1 + 15
We consider the new divisor 62 and the new remainder 15,and apply the division lemma to get
62 = 15 x 4 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 926 and 571 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(62,15) = HCF(77,62) = HCF(139,77) = HCF(216,139) = HCF(355,216) = HCF(571,355) = HCF(926,571) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 95 > 1, we apply the division lemma to 95 and 1, to get
95 = 1 x 95 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95 is 1
Notice that 1 = HCF(95,1) .
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Frequently Asked Questions on HCF of 926, 571, 95 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 926, 571, 95?
Answer: HCF of 926, 571, 95 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 926, 571, 95 using Euclid's Algorithm?
Answer: For arbitrary numbers 926, 571, 95 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.