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 3809, 7114 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3809, 7114 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 3809, 7114 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 3809, 7114 is 1.
HCF(3809, 7114) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3809, 7114 is 1.
Step 1: Since 7114 > 3809, we apply the division lemma to 7114 and 3809, to get
7114 = 3809 x 1 + 3305
Step 2: Since the reminder 3809 ≠ 0, we apply division lemma to 3305 and 3809, to get
3809 = 3305 x 1 + 504
Step 3: We consider the new divisor 3305 and the new remainder 504, and apply the division lemma to get
3305 = 504 x 6 + 281
We consider the new divisor 504 and the new remainder 281,and apply the division lemma to get
504 = 281 x 1 + 223
We consider the new divisor 281 and the new remainder 223,and apply the division lemma to get
281 = 223 x 1 + 58
We consider the new divisor 223 and the new remainder 58,and apply the division lemma to get
223 = 58 x 3 + 49
We consider the new divisor 58 and the new remainder 49,and apply the division lemma to get
58 = 49 x 1 + 9
We consider the new divisor 49 and the new remainder 9,and apply the division lemma to get
49 = 9 x 5 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3809 and 7114 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(49,9) = HCF(58,49) = HCF(223,58) = HCF(281,223) = HCF(504,281) = HCF(3305,504) = HCF(3809,3305) = HCF(7114,3809) .
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 3809, 7114?
Answer: HCF of 3809, 7114 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3809, 7114 using Euclid's Algorithm?
Answer: For arbitrary numbers 3809, 7114 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.