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 3350, 9743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3350, 9743 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 3350, 9743 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 3350, 9743 is 1.
HCF(3350, 9743) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3350, 9743 is 1.
Step 1: Since 9743 > 3350, we apply the division lemma to 9743 and 3350, to get
9743 = 3350 x 2 + 3043
Step 2: Since the reminder 3350 ≠ 0, we apply division lemma to 3043 and 3350, to get
3350 = 3043 x 1 + 307
Step 3: We consider the new divisor 3043 and the new remainder 307, and apply the division lemma to get
3043 = 307 x 9 + 280
We consider the new divisor 307 and the new remainder 280,and apply the division lemma to get
307 = 280 x 1 + 27
We consider the new divisor 280 and the new remainder 27,and apply the division lemma to get
280 = 27 x 10 + 10
We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get
27 = 10 x 2 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 3350 and 9743 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(280,27) = HCF(307,280) = HCF(3043,307) = HCF(3350,3043) = HCF(9743,3350) .
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 3350, 9743?
Answer: HCF of 3350, 9743 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3350, 9743 using Euclid's Algorithm?
Answer: For arbitrary numbers 3350, 9743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.