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 9926, 3394 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9926, 3394 is 2 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 9926, 3394 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 9926, 3394 is 2.
HCF(9926, 3394) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9926, 3394 is 2.
Step 1: Since 9926 > 3394, we apply the division lemma to 9926 and 3394, to get
9926 = 3394 x 2 + 3138
Step 2: Since the reminder 3394 ≠ 0, we apply division lemma to 3138 and 3394, to get
3394 = 3138 x 1 + 256
Step 3: We consider the new divisor 3138 and the new remainder 256, and apply the division lemma to get
3138 = 256 x 12 + 66
We consider the new divisor 256 and the new remainder 66,and apply the division lemma to get
256 = 66 x 3 + 58
We consider the new divisor 66 and the new remainder 58,and apply the division lemma to get
66 = 58 x 1 + 8
We consider the new divisor 58 and the new remainder 8,and apply the division lemma to get
58 = 8 x 7 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9926 and 3394 is 2
Notice that 2 = HCF(8,2) = HCF(58,8) = HCF(66,58) = HCF(256,66) = HCF(3138,256) = HCF(3394,3138) = HCF(9926,3394) .
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 9926, 3394?
Answer: HCF of 9926, 3394 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9926, 3394 using Euclid's Algorithm?
Answer: For arbitrary numbers 9926, 3394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.