Highest Common Factor of 2454, 9228 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 2454, 9228 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 2454, 9228 is 6 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 2454, 9228 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 2454, 9228 is 6.
HCF(2454, 9228) = 6
HCF of 2454, 9228 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2454, 9228 is 6.
Highest Common Factor of 2454,9228 is 6
Step 1: Since 9228 > 2454, we apply the division lemma to 9228 and 2454, to get
9228 = 2454 x 3 + 1866
Step 2: Since the reminder 2454 ≠ 0, we apply division lemma to 1866 and 2454, to get
2454 = 1866 x 1 + 588
Step 3: We consider the new divisor 1866 and the new remainder 588, and apply the division lemma to get
1866 = 588 x 3 + 102
We consider the new divisor 588 and the new remainder 102,and apply the division lemma to get
588 = 102 x 5 + 78
We consider the new divisor 102 and the new remainder 78,and apply the division lemma to get
102 = 78 x 1 + 24
We consider the new divisor 78 and the new remainder 24,and apply the division lemma to get
78 = 24 x 3 + 6
We consider the new divisor 24 and the new remainder 6,and apply the division lemma to get
24 = 6 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 2454 and 9228 is 6
Notice that 6 = HCF(24,6) = HCF(78,24) = HCF(102,78) = HCF(588,102) = HCF(1866,588) = HCF(2454,1866) = HCF(9228,2454) .
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Frequently Asked Questions on HCF of 2454, 9228 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 2454, 9228?
Answer: HCF of 2454, 9228 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2454, 9228 using Euclid's Algorithm?
Answer: For arbitrary numbers 2454, 9228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.