Highest Common Factor of 763, 472, 11 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 763, 472, 11 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 763, 472, 11 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 763, 472, 11 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 763, 472, 11 is 1.
HCF(763, 472, 11) = 1
HCF of 763, 472, 11 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 763, 472, 11 is 1.
Highest Common Factor of 763,472,11 is 1
Step 1: Since 763 > 472, we apply the division lemma to 763 and 472, to get
763 = 472 x 1 + 291
Step 2: Since the reminder 472 ≠ 0, we apply division lemma to 291 and 472, to get
472 = 291 x 1 + 181
Step 3: We consider the new divisor 291 and the new remainder 181, and apply the division lemma to get
291 = 181 x 1 + 110
We consider the new divisor 181 and the new remainder 110,and apply the division lemma to get
181 = 110 x 1 + 71
We consider the new divisor 110 and the new remainder 71,and apply the division lemma to get
110 = 71 x 1 + 39
We consider the new divisor 71 and the new remainder 39,and apply the division lemma to get
71 = 39 x 1 + 32
We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get
39 = 32 x 1 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 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 763 and 472 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(71,39) = HCF(110,71) = HCF(181,110) = HCF(291,181) = HCF(472,291) = HCF(763,472) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 11 > 1, we apply the division lemma to 11 and 1, to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 11 is 1
Notice that 1 = HCF(11,1) .
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Frequently Asked Questions on HCF of 763, 472, 11 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 763, 472, 11?
Answer: HCF of 763, 472, 11 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 763, 472, 11 using Euclid's Algorithm?
Answer: For arbitrary numbers 763, 472, 11 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
