Highest Common Factor of 6241, 7058 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 6241, 7058 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6241, 7058 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 6241, 7058 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 6241, 7058 is 1.
HCF(6241, 7058) = 1
HCF of 6241, 7058 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6241, 7058 is 1.
Highest Common Factor of 6241,7058 is 1
Step 1: Since 7058 > 6241, we apply the division lemma to 7058 and 6241, to get
7058 = 6241 x 1 + 817
Step 2: Since the reminder 6241 ≠ 0, we apply division lemma to 817 and 6241, to get
6241 = 817 x 7 + 522
Step 3: We consider the new divisor 817 and the new remainder 522, and apply the division lemma to get
817 = 522 x 1 + 295
We consider the new divisor 522 and the new remainder 295,and apply the division lemma to get
522 = 295 x 1 + 227
We consider the new divisor 295 and the new remainder 227,and apply the division lemma to get
295 = 227 x 1 + 68
We consider the new divisor 227 and the new remainder 68,and apply the division lemma to get
227 = 68 x 3 + 23
We consider the new divisor 68 and the new remainder 23,and apply the division lemma to get
68 = 23 x 2 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6241 and 7058 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(68,23) = HCF(227,68) = HCF(295,227) = HCF(522,295) = HCF(817,522) = HCF(6241,817) = HCF(7058,6241) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6241, 7058 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 6241, 7058?
Answer: HCF of 6241, 7058 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6241, 7058 using Euclid's Algorithm?
Answer: For arbitrary numbers 6241, 7058 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.