Highest Common Factor of 3907, 9867 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, 9867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3907, 9867 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, 9867 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, 9867 is 1.
HCF(3907, 9867) = 1
HCF of 3907, 9867 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, 9867 is 1.
Highest Common Factor of 3907,9867 is 1
Step 1: Since 9867 > 3907, we apply the division lemma to 9867 and 3907, to get
9867 = 3907 x 2 + 2053
Step 2: Since the reminder 3907 ≠ 0, we apply division lemma to 2053 and 3907, to get
3907 = 2053 x 1 + 1854
Step 3: We consider the new divisor 2053 and the new remainder 1854, and apply the division lemma to get
2053 = 1854 x 1 + 199
We consider the new divisor 1854 and the new remainder 199,and apply the division lemma to get
1854 = 199 x 9 + 63
We consider the new divisor 199 and the new remainder 63,and apply the division lemma to get
199 = 63 x 3 + 10
We consider the new divisor 63 and the new remainder 10,and apply the division lemma to get
63 = 10 x 6 + 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 3907 and 9867 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(63,10) = HCF(199,63) = HCF(1854,199) = HCF(2053,1854) = HCF(3907,2053) = HCF(9867,3907) .
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Frequently Asked Questions on HCF of 3907, 9867 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, 9867?
Answer: HCF of 3907, 9867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3907, 9867 using Euclid's Algorithm?
Answer: For arbitrary numbers 3907, 9867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
