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 833, 479, 961 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 833, 479, 961 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 833, 479, 961 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 833, 479, 961 is 1.
HCF(833, 479, 961) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 833, 479, 961 is 1.
Step 1: Since 833 > 479, we apply the division lemma to 833 and 479, to get
833 = 479 x 1 + 354
Step 2: Since the reminder 479 ≠ 0, we apply division lemma to 354 and 479, to get
479 = 354 x 1 + 125
Step 3: We consider the new divisor 354 and the new remainder 125, and apply the division lemma to get
354 = 125 x 2 + 104
We consider the new divisor 125 and the new remainder 104,and apply the division lemma to get
125 = 104 x 1 + 21
We consider the new divisor 104 and the new remainder 21,and apply the division lemma to get
104 = 21 x 4 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 833 and 479 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(104,21) = HCF(125,104) = HCF(354,125) = HCF(479,354) = HCF(833,479) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 961 > 1, we apply the division lemma to 961 and 1, to get
961 = 1 x 961 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 961 is 1
Notice that 1 = HCF(961,1) .
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 833, 479, 961?
Answer: HCF of 833, 479, 961 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 833, 479, 961 using Euclid's Algorithm?
Answer: For arbitrary numbers 833, 479, 961 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.