Highest Common Factor of 1695, 7425 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 1695, 7425 i.e. 15 the largest integer that leaves a remainder zero for all numbers.
HCF of 1695, 7425 is 15 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 1695, 7425 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 1695, 7425 is 15.
HCF(1695, 7425) = 15
HCF of 1695, 7425 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1695, 7425 is 15.
Highest Common Factor of 1695,7425 is 15
Step 1: Since 7425 > 1695, we apply the division lemma to 7425 and 1695, to get
7425 = 1695 x 4 + 645
Step 2: Since the reminder 1695 ≠ 0, we apply division lemma to 645 and 1695, to get
1695 = 645 x 2 + 405
Step 3: We consider the new divisor 645 and the new remainder 405, and apply the division lemma to get
645 = 405 x 1 + 240
We consider the new divisor 405 and the new remainder 240,and apply the division lemma to get
405 = 240 x 1 + 165
We consider the new divisor 240 and the new remainder 165,and apply the division lemma to get
240 = 165 x 1 + 75
We consider the new divisor 165 and the new remainder 75,and apply the division lemma to get
165 = 75 x 2 + 15
We consider the new divisor 75 and the new remainder 15,and apply the division lemma to get
75 = 15 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 1695 and 7425 is 15
Notice that 15 = HCF(75,15) = HCF(165,75) = HCF(240,165) = HCF(405,240) = HCF(645,405) = HCF(1695,645) = HCF(7425,1695) .
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Frequently Asked Questions on HCF of 1695, 7425 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 1695, 7425?
Answer: HCF of 1695, 7425 is 15 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1695, 7425 using Euclid's Algorithm?
Answer: For arbitrary numbers 1695, 7425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.