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 965, 292 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 965, 292 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 965, 292 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 965, 292 is 1.
HCF(965, 292) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 965, 292 is 1.
Step 1: Since 965 > 292, we apply the division lemma to 965 and 292, to get
965 = 292 x 3 + 89
Step 2: Since the reminder 292 ≠ 0, we apply division lemma to 89 and 292, to get
292 = 89 x 3 + 25
Step 3: We consider the new divisor 89 and the new remainder 25, and apply the division lemma to get
89 = 25 x 3 + 14
We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get
25 = 14 x 1 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 965 and 292 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(89,25) = HCF(292,89) = HCF(965,292) .
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 965, 292?
Answer: HCF of 965, 292 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 965, 292 using Euclid's Algorithm?
Answer: For arbitrary numbers 965, 292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.