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 555, 1517 i.e. 37 the largest integer that leaves a remainder zero for all numbers.
HCF of 555, 1517 is 37 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 555, 1517 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 555, 1517 is 37.
HCF(555, 1517) = 37
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 555, 1517 is 37.
Step 1: Since 1517 > 555, we apply the division lemma to 1517 and 555, to get
1517 = 555 x 2 + 407
Step 2: Since the reminder 555 ≠ 0, we apply division lemma to 407 and 555, to get
555 = 407 x 1 + 148
Step 3: We consider the new divisor 407 and the new remainder 148, and apply the division lemma to get
407 = 148 x 2 + 111
We consider the new divisor 148 and the new remainder 111,and apply the division lemma to get
148 = 111 x 1 + 37
We consider the new divisor 111 and the new remainder 37,and apply the division lemma to get
111 = 37 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 555 and 1517 is 37
Notice that 37 = HCF(111,37) = HCF(148,111) = HCF(407,148) = HCF(555,407) = HCF(1517,555) .
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 555, 1517?
Answer: HCF of 555, 1517 is 37 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 555, 1517 using Euclid's Algorithm?
Answer: For arbitrary numbers 555, 1517 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.