Highest Common Factor of 7387, 8441 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 7387, 8441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7387, 8441 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 7387, 8441 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 7387, 8441 is 1.
HCF(7387, 8441) = 1
HCF of 7387, 8441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7387, 8441 is 1.
Highest Common Factor of 7387,8441 is 1
Step 1: Since 8441 > 7387, we apply the division lemma to 8441 and 7387, to get
8441 = 7387 x 1 + 1054
Step 2: Since the reminder 7387 ≠ 0, we apply division lemma to 1054 and 7387, to get
7387 = 1054 x 7 + 9
Step 3: We consider the new divisor 1054 and the new remainder 9, and apply the division lemma to get
1054 = 9 x 117 + 1
We consider the new divisor 9 and the new remainder 1, and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7387 and 8441 is 1
Notice that 1 = HCF(9,1) = HCF(1054,9) = HCF(7387,1054) = HCF(8441,7387) .
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Frequently Asked Questions on HCF of 7387, 8441 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 7387, 8441?
Answer: HCF of 7387, 8441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7387, 8441 using Euclid's Algorithm?
Answer: For arbitrary numbers 7387, 8441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.