Highest Common Factor of 8422, 7351 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 8422, 7351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8422, 7351 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 8422, 7351 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 8422, 7351 is 1.
HCF(8422, 7351) = 1
HCF of 8422, 7351 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8422, 7351 is 1.
Highest Common Factor of 8422,7351 is 1
Step 1: Since 8422 > 7351, we apply the division lemma to 8422 and 7351, to get
8422 = 7351 x 1 + 1071
Step 2: Since the reminder 7351 ≠ 0, we apply division lemma to 1071 and 7351, to get
7351 = 1071 x 6 + 925
Step 3: We consider the new divisor 1071 and the new remainder 925, and apply the division lemma to get
1071 = 925 x 1 + 146
We consider the new divisor 925 and the new remainder 146,and apply the division lemma to get
925 = 146 x 6 + 49
We consider the new divisor 146 and the new remainder 49,and apply the division lemma to get
146 = 49 x 2 + 48
We consider the new divisor 49 and the new remainder 48,and apply the division lemma to get
49 = 48 x 1 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8422 and 7351 is 1
Notice that 1 = HCF(48,1) = HCF(49,48) = HCF(146,49) = HCF(925,146) = HCF(1071,925) = HCF(7351,1071) = HCF(8422,7351) .
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Frequently Asked Questions on HCF of 8422, 7351 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 8422, 7351?
Answer: HCF of 8422, 7351 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8422, 7351 using Euclid's Algorithm?
Answer: For arbitrary numbers 8422, 7351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.