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 3869, 2719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3869, 2719 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 3869, 2719 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 3869, 2719 is 1.
HCF(3869, 2719) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3869, 2719 is 1.
Step 1: Since 3869 > 2719, we apply the division lemma to 3869 and 2719, to get
3869 = 2719 x 1 + 1150
Step 2: Since the reminder 2719 ≠ 0, we apply division lemma to 1150 and 2719, to get
2719 = 1150 x 2 + 419
Step 3: We consider the new divisor 1150 and the new remainder 419, and apply the division lemma to get
1150 = 419 x 2 + 312
We consider the new divisor 419 and the new remainder 312,and apply the division lemma to get
419 = 312 x 1 + 107
We consider the new divisor 312 and the new remainder 107,and apply the division lemma to get
312 = 107 x 2 + 98
We consider the new divisor 107 and the new remainder 98,and apply the division lemma to get
107 = 98 x 1 + 9
We consider the new divisor 98 and the new remainder 9,and apply the division lemma to get
98 = 9 x 10 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3869 and 2719 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(98,9) = HCF(107,98) = HCF(312,107) = HCF(419,312) = HCF(1150,419) = HCF(2719,1150) = HCF(3869,2719) .
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 3869, 2719?
Answer: HCF of 3869, 2719 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3869, 2719 using Euclid's Algorithm?
Answer: For arbitrary numbers 3869, 2719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.