Highest Common Factor of 3907, 1105 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 3907, 1105 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3907, 1105 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 3907, 1105 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 3907, 1105 is 1.
HCF(3907, 1105) = 1
HCF of 3907, 1105 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3907, 1105 is 1.
Highest Common Factor of 3907,1105 is 1
Step 1: Since 3907 > 1105, we apply the division lemma to 3907 and 1105, to get
3907 = 1105 x 3 + 592
Step 2: Since the reminder 1105 ≠ 0, we apply division lemma to 592 and 1105, to get
1105 = 592 x 1 + 513
Step 3: We consider the new divisor 592 and the new remainder 513, and apply the division lemma to get
592 = 513 x 1 + 79
We consider the new divisor 513 and the new remainder 79,and apply the division lemma to get
513 = 79 x 6 + 39
We consider the new divisor 79 and the new remainder 39,and apply the division lemma to get
79 = 39 x 2 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3907 and 1105 is 1
Notice that 1 = HCF(39,1) = HCF(79,39) = HCF(513,79) = HCF(592,513) = HCF(1105,592) = HCF(3907,1105) .
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Frequently Asked Questions on HCF of 3907, 1105 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 3907, 1105?
Answer: HCF of 3907, 1105 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3907, 1105 using Euclid's Algorithm?
Answer: For arbitrary numbers 3907, 1105 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.