Highest Common Factor of 5285, 1675 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, 1675 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 5285, 1675 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, 1675 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, 1675 is 5.
HCF(5285, 1675) = 5
HCF of 5285, 1675 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, 1675 is 5.
Highest Common Factor of 5285,1675 is 5
Step 1: Since 5285 > 1675, we apply the division lemma to 5285 and 1675, to get
5285 = 1675 x 3 + 260
Step 2: Since the reminder 1675 ≠ 0, we apply division lemma to 260 and 1675, to get
1675 = 260 x 6 + 115
Step 3: We consider the new divisor 260 and the new remainder 115, and apply the division lemma to get
260 = 115 x 2 + 30
We consider the new divisor 115 and the new remainder 30,and apply the division lemma to get
115 = 30 x 3 + 25
We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get
30 = 25 x 1 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5285 and 1675 is 5
Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(115,30) = HCF(260,115) = HCF(1675,260) = HCF(5285,1675) .
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Frequently Asked Questions on HCF of 5285, 1675 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, 1675?
Answer: HCF of 5285, 1675 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5285, 1675 using Euclid's Algorithm?
Answer: For arbitrary numbers 5285, 1675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.