Highest Common Factor of 924, 4254 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 924, 4254 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 4254 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 924, 4254 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 924, 4254 is 6.
HCF(924, 4254) = 6
HCF of 924, 4254 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 924, 4254 is 6.
Highest Common Factor of 924,4254 is 6
Step 1: Since 4254 > 924, we apply the division lemma to 4254 and 924, to get
4254 = 924 x 4 + 558
Step 2: Since the reminder 924 ≠ 0, we apply division lemma to 558 and 924, to get
924 = 558 x 1 + 366
Step 3: We consider the new divisor 558 and the new remainder 366, and apply the division lemma to get
558 = 366 x 1 + 192
We consider the new divisor 366 and the new remainder 192,and apply the division lemma to get
366 = 192 x 1 + 174
We consider the new divisor 192 and the new remainder 174,and apply the division lemma to get
192 = 174 x 1 + 18
We consider the new divisor 174 and the new remainder 18,and apply the division lemma to get
174 = 18 x 9 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 924 and 4254 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(174,18) = HCF(192,174) = HCF(366,192) = HCF(558,366) = HCF(924,558) = HCF(4254,924) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 924, 4254 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 924, 4254?
Answer: HCF of 924, 4254 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 4254 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 4254 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.