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 1601, 3879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1601, 3879 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 1601, 3879 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 1601, 3879 is 1.
HCF(1601, 3879) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1601, 3879 is 1.
Step 1: Since 3879 > 1601, we apply the division lemma to 3879 and 1601, to get
3879 = 1601 x 2 + 677
Step 2: Since the reminder 1601 ≠ 0, we apply division lemma to 677 and 1601, to get
1601 = 677 x 2 + 247
Step 3: We consider the new divisor 677 and the new remainder 247, and apply the division lemma to get
677 = 247 x 2 + 183
We consider the new divisor 247 and the new remainder 183,and apply the division lemma to get
247 = 183 x 1 + 64
We consider the new divisor 183 and the new remainder 64,and apply the division lemma to get
183 = 64 x 2 + 55
We consider the new divisor 64 and the new remainder 55,and apply the division lemma to get
64 = 55 x 1 + 9
We consider the new divisor 55 and the new remainder 9,and apply the division lemma to get
55 = 9 x 6 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1601 and 3879 is 1
Notice that 1 = HCF(9,1) = HCF(55,9) = HCF(64,55) = HCF(183,64) = HCF(247,183) = HCF(677,247) = HCF(1601,677) = HCF(3879,1601) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 1601, 3879?
Answer: HCF of 1601, 3879 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1601, 3879 using Euclid's Algorithm?
Answer: For arbitrary numbers 1601, 3879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.