Highest Common Factor of 2695, 1485 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 2695, 1485 i.e. 55 the largest integer that leaves a remainder zero for all numbers.
HCF of 2695, 1485 is 55 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 2695, 1485 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 2695, 1485 is 55.
HCF(2695, 1485) = 55
HCF of 2695, 1485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2695, 1485 is 55.
Highest Common Factor of 2695,1485 is 55
Step 1: Since 2695 > 1485, we apply the division lemma to 2695 and 1485, to get
2695 = 1485 x 1 + 1210
Step 2: Since the reminder 1485 ≠ 0, we apply division lemma to 1210 and 1485, to get
1485 = 1210 x 1 + 275
Step 3: We consider the new divisor 1210 and the new remainder 275, and apply the division lemma to get
1210 = 275 x 4 + 110
We consider the new divisor 275 and the new remainder 110,and apply the division lemma to get
275 = 110 x 2 + 55
We consider the new divisor 110 and the new remainder 55,and apply the division lemma to get
110 = 55 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 2695 and 1485 is 55
Notice that 55 = HCF(110,55) = HCF(275,110) = HCF(1210,275) = HCF(1485,1210) = HCF(2695,1485) .
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Frequently Asked Questions on HCF of 2695, 1485 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 2695, 1485?
Answer: HCF of 2695, 1485 is 55 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2695, 1485 using Euclid's Algorithm?
Answer: For arbitrary numbers 2695, 1485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.