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 494, 533, 985 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 494, 533, 985 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 494, 533, 985 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 494, 533, 985 is 1.
HCF(494, 533, 985) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 494, 533, 985 is 1.
Step 1: Since 533 > 494, we apply the division lemma to 533 and 494, to get
533 = 494 x 1 + 39
Step 2: Since the reminder 494 ≠ 0, we apply division lemma to 39 and 494, to get
494 = 39 x 12 + 26
Step 3: We consider the new divisor 39 and the new remainder 26, and apply the division lemma to get
39 = 26 x 1 + 13
We consider the new divisor 26 and the new remainder 13, and apply the division lemma to get
26 = 13 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 494 and 533 is 13
Notice that 13 = HCF(26,13) = HCF(39,26) = HCF(494,39) = HCF(533,494) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 985 > 13, we apply the division lemma to 985 and 13, to get
985 = 13 x 75 + 10
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 10 and 13, to get
13 = 10 x 1 + 3
Step 3: We consider the new divisor 10 and the new remainder 3, and apply the division lemma to get
10 = 3 x 3 + 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 13 and 985 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(985,13) .
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 494, 533, 985?
Answer: HCF of 494, 533, 985 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 494, 533, 985 using Euclid's Algorithm?
Answer: For arbitrary numbers 494, 533, 985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.