Highest Common Factor of 8542, 6170 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 8542, 6170 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8542, 6170 is 2 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 8542, 6170 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 8542, 6170 is 2.
HCF(8542, 6170) = 2
HCF of 8542, 6170 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8542, 6170 is 2.
Highest Common Factor of 8542,6170 is 2
Step 1: Since 8542 > 6170, we apply the division lemma to 8542 and 6170, to get
8542 = 6170 x 1 + 2372
Step 2: Since the reminder 6170 ≠ 0, we apply division lemma to 2372 and 6170, to get
6170 = 2372 x 2 + 1426
Step 3: We consider the new divisor 2372 and the new remainder 1426, and apply the division lemma to get
2372 = 1426 x 1 + 946
We consider the new divisor 1426 and the new remainder 946,and apply the division lemma to get
1426 = 946 x 1 + 480
We consider the new divisor 946 and the new remainder 480,and apply the division lemma to get
946 = 480 x 1 + 466
We consider the new divisor 480 and the new remainder 466,and apply the division lemma to get
480 = 466 x 1 + 14
We consider the new divisor 466 and the new remainder 14,and apply the division lemma to get
466 = 14 x 33 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8542 and 6170 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(466,14) = HCF(480,466) = HCF(946,480) = HCF(1426,946) = HCF(2372,1426) = HCF(6170,2372) = HCF(8542,6170) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8542, 6170 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 8542, 6170?
Answer: HCF of 8542, 6170 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8542, 6170 using Euclid's Algorithm?
Answer: For arbitrary numbers 8542, 6170 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
