Highest Common Factor of 3790, 9937 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 3790, 9937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3790, 9937 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 3790, 9937 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 3790, 9937 is 1.
HCF(3790, 9937) = 1
HCF of 3790, 9937 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3790, 9937 is 1.
Highest Common Factor of 3790,9937 is 1
Step 1: Since 9937 > 3790, we apply the division lemma to 9937 and 3790, to get
9937 = 3790 x 2 + 2357
Step 2: Since the reminder 3790 ≠ 0, we apply division lemma to 2357 and 3790, to get
3790 = 2357 x 1 + 1433
Step 3: We consider the new divisor 2357 and the new remainder 1433, and apply the division lemma to get
2357 = 1433 x 1 + 924
We consider the new divisor 1433 and the new remainder 924,and apply the division lemma to get
1433 = 924 x 1 + 509
We consider the new divisor 924 and the new remainder 509,and apply the division lemma to get
924 = 509 x 1 + 415
We consider the new divisor 509 and the new remainder 415,and apply the division lemma to get
509 = 415 x 1 + 94
We consider the new divisor 415 and the new remainder 94,and apply the division lemma to get
415 = 94 x 4 + 39
We consider the new divisor 94 and the new remainder 39,and apply the division lemma to get
94 = 39 x 2 + 16
We consider the new divisor 39 and the new remainder 16,and apply the division lemma to get
39 = 16 x 2 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3790 and 9937 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(39,16) = HCF(94,39) = HCF(415,94) = HCF(509,415) = HCF(924,509) = HCF(1433,924) = HCF(2357,1433) = HCF(3790,2357) = HCF(9937,3790) .
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Frequently Asked Questions on HCF of 3790, 9937 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 3790, 9937?
Answer: HCF of 3790, 9937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3790, 9937 using Euclid's Algorithm?
Answer: For arbitrary numbers 3790, 9937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.