Highest Common Factor of 1547, 940 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 1547, 940 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1547, 940 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 1547, 940 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 1547, 940 is 1.
HCF(1547, 940) = 1
HCF of 1547, 940 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1547, 940 is 1.
Highest Common Factor of 1547,940 is 1
Step 1: Since 1547 > 940, we apply the division lemma to 1547 and 940, to get
1547 = 940 x 1 + 607
Step 2: Since the reminder 940 ≠ 0, we apply division lemma to 607 and 940, to get
940 = 607 x 1 + 333
Step 3: We consider the new divisor 607 and the new remainder 333, and apply the division lemma to get
607 = 333 x 1 + 274
We consider the new divisor 333 and the new remainder 274,and apply the division lemma to get
333 = 274 x 1 + 59
We consider the new divisor 274 and the new remainder 59,and apply the division lemma to get
274 = 59 x 4 + 38
We consider the new divisor 59 and the new remainder 38,and apply the division lemma to get
59 = 38 x 1 + 21
We consider the new divisor 38 and the new remainder 21,and apply the division lemma to get
38 = 21 x 1 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1547 and 940 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(38,21) = HCF(59,38) = HCF(274,59) = HCF(333,274) = HCF(607,333) = HCF(940,607) = HCF(1547,940) .
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Frequently Asked Questions on HCF of 1547, 940 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 1547, 940?
Answer: HCF of 1547, 940 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1547, 940 using Euclid's Algorithm?
Answer: For arbitrary numbers 1547, 940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.