Highest Common Factor of 526, 323, 264, 58 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 526, 323, 264, 58 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 323, 264, 58 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 526, 323, 264, 58 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 526, 323, 264, 58 is 1.
HCF(526, 323, 264, 58) = 1
HCF of 526, 323, 264, 58 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 323, 264, 58 is 1.
Highest Common Factor of 526,323,264,58 is 1
Step 1: Since 526 > 323, we apply the division lemma to 526 and 323, to get
526 = 323 x 1 + 203
Step 2: Since the reminder 323 ≠ 0, we apply division lemma to 203 and 323, to get
323 = 203 x 1 + 120
Step 3: We consider the new divisor 203 and the new remainder 120, and apply the division lemma to get
203 = 120 x 1 + 83
We consider the new divisor 120 and the new remainder 83,and apply the division lemma to get
120 = 83 x 1 + 37
We consider the new divisor 83 and the new remainder 37,and apply the division lemma to get
83 = 37 x 2 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 526 and 323 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(83,37) = HCF(120,83) = HCF(203,120) = HCF(323,203) = HCF(526,323) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 264 > 1, we apply the division lemma to 264 and 1, to get
264 = 1 x 264 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 264 is 1
Notice that 1 = HCF(264,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58 > 1, we apply the division lemma to 58 and 1, to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58 is 1
Notice that 1 = HCF(58,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 526, 323, 264, 58 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 526, 323, 264, 58?
Answer: HCF of 526, 323, 264, 58 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 323, 264, 58 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 323, 264, 58 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.