Highest Common Factor of 3914, 7441 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 3914, 7441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3914, 7441 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 3914, 7441 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 3914, 7441 is 1.
HCF(3914, 7441) = 1
HCF of 3914, 7441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3914, 7441 is 1.
Highest Common Factor of 3914,7441 is 1
Step 1: Since 7441 > 3914, we apply the division lemma to 7441 and 3914, to get
7441 = 3914 x 1 + 3527
Step 2: Since the reminder 3914 ≠ 0, we apply division lemma to 3527 and 3914, to get
3914 = 3527 x 1 + 387
Step 3: We consider the new divisor 3527 and the new remainder 387, and apply the division lemma to get
3527 = 387 x 9 + 44
We consider the new divisor 387 and the new remainder 44,and apply the division lemma to get
387 = 44 x 8 + 35
We consider the new divisor 44 and the new remainder 35,and apply the division lemma to get
44 = 35 x 1 + 9
We consider the new divisor 35 and the new remainder 9,and apply the division lemma to get
35 = 9 x 3 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3914 and 7441 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(35,9) = HCF(44,35) = HCF(387,44) = HCF(3527,387) = HCF(3914,3527) = HCF(7441,3914) .
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Frequently Asked Questions on HCF of 3914, 7441 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 3914, 7441?
Answer: HCF of 3914, 7441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3914, 7441 using Euclid's Algorithm?
Answer: For arbitrary numbers 3914, 7441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
