Highest Common Factor of 965, 92085 using Euclid's algorithm
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, 92085 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 965, 92085 is 5 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, 92085 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, 92085 is 5.
HCF(965, 92085) = 5
HCF of 965, 92085 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 965, 92085 is 5.
Highest Common Factor of 965,92085 is 5
Step 1: Since 92085 > 965, we apply the division lemma to 92085 and 965, to get
92085 = 965 x 95 + 410
Step 2: Since the reminder 965 ≠ 0, we apply division lemma to 410 and 965, to get
965 = 410 x 2 + 145
Step 3: We consider the new divisor 410 and the new remainder 145, and apply the division lemma to get
410 = 145 x 2 + 120
We consider the new divisor 145 and the new remainder 120,and apply the division lemma to get
145 = 120 x 1 + 25
We consider the new divisor 120 and the new remainder 25,and apply the division lemma to get
120 = 25 x 4 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 965 and 92085 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(120,25) = HCF(145,120) = HCF(410,145) = HCF(965,410) = HCF(92085,965) .
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Frequently Asked Questions on HCF of 965, 92085 using Euclid's Algorithm
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, 92085?
Answer: HCF of 965, 92085 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 965, 92085 using Euclid's Algorithm?
Answer: For arbitrary numbers 965, 92085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
