Highest Common Factor of 9346, 2400 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 9346, 2400 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9346, 2400 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 9346, 2400 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 9346, 2400 is 2.
HCF(9346, 2400) = 2
HCF of 9346, 2400 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9346, 2400 is 2.
Highest Common Factor of 9346,2400 is 2
Step 1: Since 9346 > 2400, we apply the division lemma to 9346 and 2400, to get
9346 = 2400 x 3 + 2146
Step 2: Since the reminder 2400 ≠ 0, we apply division lemma to 2146 and 2400, to get
2400 = 2146 x 1 + 254
Step 3: We consider the new divisor 2146 and the new remainder 254, and apply the division lemma to get
2146 = 254 x 8 + 114
We consider the new divisor 254 and the new remainder 114,and apply the division lemma to get
254 = 114 x 2 + 26
We consider the new divisor 114 and the new remainder 26,and apply the division lemma to get
114 = 26 x 4 + 10
We consider the new divisor 26 and the new remainder 10,and apply the division lemma to get
26 = 10 x 2 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9346 and 2400 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(26,10) = HCF(114,26) = HCF(254,114) = HCF(2146,254) = HCF(2400,2146) = HCF(9346,2400) .
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Frequently Asked Questions on HCF of 9346, 2400 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 9346, 2400?
Answer: HCF of 9346, 2400 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9346, 2400 using Euclid's Algorithm?
Answer: For arbitrary numbers 9346, 2400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.