Highest Common Factor of 7108, 6245 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 7108, 6245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7108, 6245 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 7108, 6245 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 7108, 6245 is 1.
HCF(7108, 6245) = 1
HCF of 7108, 6245 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7108, 6245 is 1.
Highest Common Factor of 7108,6245 is 1
Step 1: Since 7108 > 6245, we apply the division lemma to 7108 and 6245, to get
7108 = 6245 x 1 + 863
Step 2: Since the reminder 6245 ≠ 0, we apply division lemma to 863 and 6245, to get
6245 = 863 x 7 + 204
Step 3: We consider the new divisor 863 and the new remainder 204, and apply the division lemma to get
863 = 204 x 4 + 47
We consider the new divisor 204 and the new remainder 47,and apply the division lemma to get
204 = 47 x 4 + 16
We consider the new divisor 47 and the new remainder 16,and apply the division lemma to get
47 = 16 x 2 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7108 and 6245 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(47,16) = HCF(204,47) = HCF(863,204) = HCF(6245,863) = HCF(7108,6245) .
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Frequently Asked Questions on HCF of 7108, 6245 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 7108, 6245?
Answer: HCF of 7108, 6245 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7108, 6245 using Euclid's Algorithm?
Answer: For arbitrary numbers 7108, 6245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
