Highest Common Factor of 7340, 571 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 7340, 571 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7340, 571 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 7340, 571 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 7340, 571 is 1.
HCF(7340, 571) = 1
HCF of 7340, 571 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7340, 571 is 1.
Highest Common Factor of 7340,571 is 1
Step 1: Since 7340 > 571, we apply the division lemma to 7340 and 571, to get
7340 = 571 x 12 + 488
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 488 and 571, to get
571 = 488 x 1 + 83
Step 3: We consider the new divisor 488 and the new remainder 83, and apply the division lemma to get
488 = 83 x 5 + 73
We consider the new divisor 83 and the new remainder 73,and apply the division lemma to get
83 = 73 x 1 + 10
We consider the new divisor 73 and the new remainder 10,and apply the division lemma to get
73 = 10 x 7 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7340 and 571 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(73,10) = HCF(83,73) = HCF(488,83) = HCF(571,488) = HCF(7340,571) .
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Frequently Asked Questions on HCF of 7340, 571 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 7340, 571?
Answer: HCF of 7340, 571 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7340, 571 using Euclid's Algorithm?
Answer: For arbitrary numbers 7340, 571 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.