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, 493, 685 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 493, 685 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, 493, 685 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, 493, 685 is 1.
HCF(526, 493, 685) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 493, 685 is 1.
Step 1: Since 526 > 493, we apply the division lemma to 526 and 493, to get
526 = 493 x 1 + 33
Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 33 and 493, to get
493 = 33 x 14 + 31
Step 3: We consider the new divisor 33 and the new remainder 31, and apply the division lemma to get
33 = 31 x 1 + 2
We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get
31 = 2 x 15 + 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 526 and 493 is 1
Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(33,31) = HCF(493,33) = HCF(526,493) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 685 > 1, we apply the division lemma to 685 and 1, to get
685 = 1 x 685 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 685 is 1
Notice that 1 = HCF(685,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 493, 685?
Answer: HCF of 526, 493, 685 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 493, 685 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 493, 685 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.