Highest Common Factor of 615, 7462 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 615, 7462 i.e. 41 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 7462 is 41 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 615, 7462 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 615, 7462 is 41.
HCF(615, 7462) = 41
HCF of 615, 7462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 7462 is 41.
Highest Common Factor of 615,7462 is 41
Step 1: Since 7462 > 615, we apply the division lemma to 7462 and 615, to get
7462 = 615 x 12 + 82
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 82 and 615, to get
615 = 82 x 7 + 41
Step 3: We consider the new divisor 82 and the new remainder 41, and apply the division lemma to get
82 = 41 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 41, the HCF of 615 and 7462 is 41
Notice that 41 = HCF(82,41) = HCF(615,82) = HCF(7462,615) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 615, 7462 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 615, 7462?
Answer: HCF of 615, 7462 is 41 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 7462 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 7462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
