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 269, 982, 933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 269, 982, 933 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 269, 982, 933 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 269, 982, 933 is 1.
HCF(269, 982, 933) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 269, 982, 933 is 1.
Step 1: Since 982 > 269, we apply the division lemma to 982 and 269, to get
982 = 269 x 3 + 175
Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 175 and 269, to get
269 = 175 x 1 + 94
Step 3: We consider the new divisor 175 and the new remainder 94, and apply the division lemma to get
175 = 94 x 1 + 81
We consider the new divisor 94 and the new remainder 81,and apply the division lemma to get
94 = 81 x 1 + 13
We consider the new divisor 81 and the new remainder 13,and apply the division lemma to get
81 = 13 x 6 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 269 and 982 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(81,13) = HCF(94,81) = HCF(175,94) = HCF(269,175) = HCF(982,269) .
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) .
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 269, 982, 933?
Answer: HCF of 269, 982, 933 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 269, 982, 933 using Euclid's Algorithm?
Answer: For arbitrary numbers 269, 982, 933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.