Highest Common Factor of 601, 3979 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 601, 3979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 601, 3979 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 601, 3979 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 601, 3979 is 1.
HCF(601, 3979) = 1
HCF of 601, 3979 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 601, 3979 is 1.
Highest Common Factor of 601,3979 is 1
Step 1: Since 3979 > 601, we apply the division lemma to 3979 and 601, to get
3979 = 601 x 6 + 373
Step 2: Since the reminder 601 ≠ 0, we apply division lemma to 373 and 601, to get
601 = 373 x 1 + 228
Step 3: We consider the new divisor 373 and the new remainder 228, and apply the division lemma to get
373 = 228 x 1 + 145
We consider the new divisor 228 and the new remainder 145,and apply the division lemma to get
228 = 145 x 1 + 83
We consider the new divisor 145 and the new remainder 83,and apply the division lemma to get
145 = 83 x 1 + 62
We consider the new divisor 83 and the new remainder 62,and apply the division lemma to get
83 = 62 x 1 + 21
We consider the new divisor 62 and the new remainder 21,and apply the division lemma to get
62 = 21 x 2 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 601 and 3979 is 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(62,21) = HCF(83,62) = HCF(145,83) = HCF(228,145) = HCF(373,228) = HCF(601,373) = HCF(3979,601) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 601, 3979 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 601, 3979?
Answer: HCF of 601, 3979 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 601, 3979 using Euclid's Algorithm?
Answer: For arbitrary numbers 601, 3979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.