Highest Common Factor of 477, 176, 722, 91 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 477, 176, 722, 91 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 477, 176, 722, 91 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 477, 176, 722, 91 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 477, 176, 722, 91 is 1.
HCF(477, 176, 722, 91) = 1
HCF of 477, 176, 722, 91 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 477, 176, 722, 91 is 1.
Highest Common Factor of 477,176,722,91 is 1
Step 1: Since 477 > 176, we apply the division lemma to 477 and 176, to get
477 = 176 x 2 + 125
Step 2: Since the reminder 176 ≠ 0, we apply division lemma to 125 and 176, to get
176 = 125 x 1 + 51
Step 3: We consider the new divisor 125 and the new remainder 51, and apply the division lemma to get
125 = 51 x 2 + 23
We consider the new divisor 51 and the new remainder 23,and apply the division lemma to get
51 = 23 x 2 + 5
We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get
23 = 5 x 4 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 477 and 176 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(51,23) = HCF(125,51) = HCF(176,125) = HCF(477,176) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 722 > 1, we apply the division lemma to 722 and 1, to get
722 = 1 x 722 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 722 is 1
Notice that 1 = HCF(722,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 91 > 1, we apply the division lemma to 91 and 1, to get
91 = 1 x 91 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 91 is 1
Notice that 1 = HCF(91,1) .
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Frequently Asked Questions on HCF of 477, 176, 722, 91 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 477, 176, 722, 91?
Answer: HCF of 477, 176, 722, 91 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 477, 176, 722, 91 using Euclid's Algorithm?
Answer: For arbitrary numbers 477, 176, 722, 91 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.