Highest Common Factor of 4019, 6942 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 4019, 6942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4019, 6942 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 4019, 6942 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 4019, 6942 is 1.
HCF(4019, 6942) = 1
HCF of 4019, 6942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4019, 6942 is 1.
Highest Common Factor of 4019,6942 is 1
Step 1: Since 6942 > 4019, we apply the division lemma to 6942 and 4019, to get
6942 = 4019 x 1 + 2923
Step 2: Since the reminder 4019 ≠ 0, we apply division lemma to 2923 and 4019, to get
4019 = 2923 x 1 + 1096
Step 3: We consider the new divisor 2923 and the new remainder 1096, and apply the division lemma to get
2923 = 1096 x 2 + 731
We consider the new divisor 1096 and the new remainder 731,and apply the division lemma to get
1096 = 731 x 1 + 365
We consider the new divisor 731 and the new remainder 365,and apply the division lemma to get
731 = 365 x 2 + 1
We consider the new divisor 365 and the new remainder 1,and apply the division lemma to get
365 = 1 x 365 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4019 and 6942 is 1
Notice that 1 = HCF(365,1) = HCF(731,365) = HCF(1096,731) = HCF(2923,1096) = HCF(4019,2923) = HCF(6942,4019) .
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Frequently Asked Questions on HCF of 4019, 6942 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 4019, 6942?
Answer: HCF of 4019, 6942 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4019, 6942 using Euclid's Algorithm?
Answer: For arbitrary numbers 4019, 6942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.