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 6117, 3571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6117, 3571 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 6117, 3571 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 6117, 3571 is 1.
HCF(6117, 3571) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6117, 3571 is 1.
Step 1: Since 6117 > 3571, we apply the division lemma to 6117 and 3571, to get
6117 = 3571 x 1 + 2546
Step 2: Since the reminder 3571 ≠ 0, we apply division lemma to 2546 and 3571, to get
3571 = 2546 x 1 + 1025
Step 3: We consider the new divisor 2546 and the new remainder 1025, and apply the division lemma to get
2546 = 1025 x 2 + 496
We consider the new divisor 1025 and the new remainder 496,and apply the division lemma to get
1025 = 496 x 2 + 33
We consider the new divisor 496 and the new remainder 33,and apply the division lemma to get
496 = 33 x 15 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6117 and 3571 is 1
Notice that 1 = HCF(33,1) = HCF(496,33) = HCF(1025,496) = HCF(2546,1025) = HCF(3571,2546) = HCF(6117,3571) .
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 6117, 3571?
Answer: HCF of 6117, 3571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6117, 3571 using Euclid's Algorithm?
Answer: For arbitrary numbers 6117, 3571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.