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 9384, 3554 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9384, 3554 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 9384, 3554 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 9384, 3554 is 2.
HCF(9384, 3554) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9384, 3554 is 2.
Step 1: Since 9384 > 3554, we apply the division lemma to 9384 and 3554, to get
9384 = 3554 x 2 + 2276
Step 2: Since the reminder 3554 ≠ 0, we apply division lemma to 2276 and 3554, to get
3554 = 2276 x 1 + 1278
Step 3: We consider the new divisor 2276 and the new remainder 1278, and apply the division lemma to get
2276 = 1278 x 1 + 998
We consider the new divisor 1278 and the new remainder 998,and apply the division lemma to get
1278 = 998 x 1 + 280
We consider the new divisor 998 and the new remainder 280,and apply the division lemma to get
998 = 280 x 3 + 158
We consider the new divisor 280 and the new remainder 158,and apply the division lemma to get
280 = 158 x 1 + 122
We consider the new divisor 158 and the new remainder 122,and apply the division lemma to get
158 = 122 x 1 + 36
We consider the new divisor 122 and the new remainder 36,and apply the division lemma to get
122 = 36 x 3 + 14
We consider the new divisor 36 and the new remainder 14,and apply the division lemma to get
36 = 14 x 2 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9384 and 3554 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(36,14) = HCF(122,36) = HCF(158,122) = HCF(280,158) = HCF(998,280) = HCF(1278,998) = HCF(2276,1278) = HCF(3554,2276) = HCF(9384,3554) .
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 9384, 3554?
Answer: HCF of 9384, 3554 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9384, 3554 using Euclid's Algorithm?
Answer: For arbitrary numbers 9384, 3554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.