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 5117, 1755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5117, 1755 is 1 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 5117, 1755 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 5117, 1755 is 1.
HCF(5117, 1755) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5117, 1755 is 1.
Step 1: Since 5117 > 1755, we apply the division lemma to 5117 and 1755, to get
5117 = 1755 x 2 + 1607
Step 2: Since the reminder 1755 ≠ 0, we apply division lemma to 1607 and 1755, to get
1755 = 1607 x 1 + 148
Step 3: We consider the new divisor 1607 and the new remainder 148, and apply the division lemma to get
1607 = 148 x 10 + 127
We consider the new divisor 148 and the new remainder 127,and apply the division lemma to get
148 = 127 x 1 + 21
We consider the new divisor 127 and the new remainder 21,and apply the division lemma to get
127 = 21 x 6 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5117 and 1755 is 1
Notice that 1 = HCF(21,1) = HCF(127,21) = HCF(148,127) = HCF(1607,148) = HCF(1755,1607) = HCF(5117,1755) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5117, 1755?
Answer: HCF of 5117, 1755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5117, 1755 using Euclid's Algorithm?
Answer: For arbitrary numbers 5117, 1755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.