Highest Common Factor of 749, 526, 811, 66 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 749, 526, 811, 66 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 749, 526, 811, 66 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 749, 526, 811, 66 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 749, 526, 811, 66 is 1.
HCF(749, 526, 811, 66) = 1
HCF of 749, 526, 811, 66 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 749, 526, 811, 66 is 1.
Highest Common Factor of 749,526,811,66 is 1
Step 1: Since 749 > 526, we apply the division lemma to 749 and 526, to get
749 = 526 x 1 + 223
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 223 and 526, to get
526 = 223 x 2 + 80
Step 3: We consider the new divisor 223 and the new remainder 80, and apply the division lemma to get
223 = 80 x 2 + 63
We consider the new divisor 80 and the new remainder 63,and apply the division lemma to get
80 = 63 x 1 + 17
We consider the new divisor 63 and the new remainder 17,and apply the division lemma to get
63 = 17 x 3 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 749 and 526 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(63,17) = HCF(80,63) = HCF(223,80) = HCF(526,223) = HCF(749,526) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 811 > 1, we apply the division lemma to 811 and 1, to get
811 = 1 x 811 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 811 is 1
Notice that 1 = HCF(811,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 66 > 1, we apply the division lemma to 66 and 1, to get
66 = 1 x 66 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66 is 1
Notice that 1 = HCF(66,1) .
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Frequently Asked Questions on HCF of 749, 526, 811, 66 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 749, 526, 811, 66?
Answer: HCF of 749, 526, 811, 66 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 749, 526, 811, 66 using Euclid's Algorithm?
Answer: For arbitrary numbers 749, 526, 811, 66 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.