Highest Common Factor of 5285, 3235 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 5285, 3235 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5285, 3235 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 5285, 3235 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 5285, 3235 is 5.
HCF(5285, 3235) = 5
HCF of 5285, 3235 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5285, 3235 is 5.
Highest Common Factor of 5285,3235 is 5
Step 1: Since 5285 > 3235, we apply the division lemma to 5285 and 3235, to get
5285 = 3235 x 1 + 2050
Step 2: Since the reminder 3235 ≠ 0, we apply division lemma to 2050 and 3235, to get
3235 = 2050 x 1 + 1185
Step 3: We consider the new divisor 2050 and the new remainder 1185, and apply the division lemma to get
2050 = 1185 x 1 + 865
We consider the new divisor 1185 and the new remainder 865,and apply the division lemma to get
1185 = 865 x 1 + 320
We consider the new divisor 865 and the new remainder 320,and apply the division lemma to get
865 = 320 x 2 + 225
We consider the new divisor 320 and the new remainder 225,and apply the division lemma to get
320 = 225 x 1 + 95
We consider the new divisor 225 and the new remainder 95,and apply the division lemma to get
225 = 95 x 2 + 35
We consider the new divisor 95 and the new remainder 35,and apply the division lemma to get
95 = 35 x 2 + 25
We consider the new divisor 35 and the new remainder 25,and apply the division lemma to get
35 = 25 x 1 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5285 and 3235 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(95,35) = HCF(225,95) = HCF(320,225) = HCF(865,320) = HCF(1185,865) = HCF(2050,1185) = HCF(3235,2050) = HCF(5285,3235) .
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Frequently Asked Questions on HCF of 5285, 3235 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 5285, 3235?
Answer: HCF of 5285, 3235 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5285, 3235 using Euclid's Algorithm?
Answer: For arbitrary numbers 5285, 3235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.