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 507, 403 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 507, 403 is 13 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 507, 403 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 507, 403 is 13.
HCF(507, 403) = 13
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 507, 403 is 13.
Step 1: Since 507 > 403, we apply the division lemma to 507 and 403, to get
507 = 403 x 1 + 104
Step 2: Since the reminder 403 ≠ 0, we apply division lemma to 104 and 403, to get
403 = 104 x 3 + 91
Step 3: We consider the new divisor 104 and the new remainder 91, and apply the division lemma to get
104 = 91 x 1 + 13
We consider the new divisor 91 and the new remainder 13, and apply the division lemma to get
91 = 13 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 507 and 403 is 13
Notice that 13 = HCF(91,13) = HCF(104,91) = HCF(403,104) = HCF(507,403) .
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 507, 403?
Answer: HCF of 507, 403 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 507, 403 using Euclid's Algorithm?
Answer: For arbitrary numbers 507, 403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.