Highest Common Factor of 3847, 2104 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 3847, 2104 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3847, 2104 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 3847, 2104 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 3847, 2104 is 1.
HCF(3847, 2104) = 1
HCF of 3847, 2104 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3847, 2104 is 1.
Highest Common Factor of 3847,2104 is 1
Step 1: Since 3847 > 2104, we apply the division lemma to 3847 and 2104, to get
3847 = 2104 x 1 + 1743
Step 2: Since the reminder 2104 ≠ 0, we apply division lemma to 1743 and 2104, to get
2104 = 1743 x 1 + 361
Step 3: We consider the new divisor 1743 and the new remainder 361, and apply the division lemma to get
1743 = 361 x 4 + 299
We consider the new divisor 361 and the new remainder 299,and apply the division lemma to get
361 = 299 x 1 + 62
We consider the new divisor 299 and the new remainder 62,and apply the division lemma to get
299 = 62 x 4 + 51
We consider the new divisor 62 and the new remainder 51,and apply the division lemma to get
62 = 51 x 1 + 11
We consider the new divisor 51 and the new remainder 11,and apply the division lemma to get
51 = 11 x 4 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 3847 and 2104 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(51,11) = HCF(62,51) = HCF(299,62) = HCF(361,299) = HCF(1743,361) = HCF(2104,1743) = HCF(3847,2104) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3847, 2104 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 3847, 2104?
Answer: HCF of 3847, 2104 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3847, 2104 using Euclid's Algorithm?
Answer: For arbitrary numbers 3847, 2104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.