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 892, 581, 933, 495 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 892, 581, 933, 495 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 892, 581, 933, 495 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 892, 581, 933, 495 is 1.
HCF(892, 581, 933, 495) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 892, 581, 933, 495 is 1.
Step 1: Since 892 > 581, we apply the division lemma to 892 and 581, to get
892 = 581 x 1 + 311
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 311 and 581, to get
581 = 311 x 1 + 270
Step 3: We consider the new divisor 311 and the new remainder 270, and apply the division lemma to get
311 = 270 x 1 + 41
We consider the new divisor 270 and the new remainder 41,and apply the division lemma to get
270 = 41 x 6 + 24
We consider the new divisor 41 and the new remainder 24,and apply the division lemma to get
41 = 24 x 1 + 17
We consider the new divisor 24 and the new remainder 17,and apply the division lemma to get
24 = 17 x 1 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 892 and 581 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(24,17) = HCF(41,24) = HCF(270,41) = HCF(311,270) = HCF(581,311) = HCF(892,581) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 933 > 1, we apply the division lemma to 933 and 1, to get
933 = 1 x 933 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 933 is 1
Notice that 1 = HCF(933,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 495 > 1, we apply the division lemma to 495 and 1, to get
495 = 1 x 495 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 495 is 1
Notice that 1 = HCF(495,1) .
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 892, 581, 933, 495?
Answer: HCF of 892, 581, 933, 495 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 892, 581, 933, 495 using Euclid's Algorithm?
Answer: For arbitrary numbers 892, 581, 933, 495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.