Highest Common Factor of 1735, 1515 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 1735, 1515 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1735, 1515 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 1735, 1515 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 1735, 1515 is 5.
HCF(1735, 1515) = 5
HCF of 1735, 1515 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1735, 1515 is 5.
Highest Common Factor of 1735,1515 is 5
Step 1: Since 1735 > 1515, we apply the division lemma to 1735 and 1515, to get
1735 = 1515 x 1 + 220
Step 2: Since the reminder 1515 ≠ 0, we apply division lemma to 220 and 1515, to get
1515 = 220 x 6 + 195
Step 3: We consider the new divisor 220 and the new remainder 195, and apply the division lemma to get
220 = 195 x 1 + 25
We consider the new divisor 195 and the new remainder 25,and apply the division lemma to get
195 = 25 x 7 + 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 1735 and 1515 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(195,25) = HCF(220,195) = HCF(1515,220) = HCF(1735,1515) .
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Frequently Asked Questions on HCF of 1735, 1515 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 1735, 1515?
Answer: HCF of 1735, 1515 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1735, 1515 using Euclid's Algorithm?
Answer: For arbitrary numbers 1735, 1515 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.