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, 4857, 4007 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 924, 4857, 4007 is 1 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, 4857, 4007 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, 4857, 4007 is 1.
HCF(924, 4857, 4007) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 924, 4857, 4007 is 1.
Step 1: Since 4857 > 924, we apply the division lemma to 4857 and 924, to get
4857 = 924 x 5 + 237
Step 2: Since the reminder 924 ≠ 0, we apply division lemma to 237 and 924, to get
924 = 237 x 3 + 213
Step 3: We consider the new divisor 237 and the new remainder 213, and apply the division lemma to get
237 = 213 x 1 + 24
We consider the new divisor 213 and the new remainder 24,and apply the division lemma to get
213 = 24 x 8 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 924 and 4857 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(213,24) = HCF(237,213) = HCF(924,237) = HCF(4857,924) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4007 > 3, we apply the division lemma to 4007 and 3, to get
4007 = 3 x 1335 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 4007 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(4007,3) .
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 924, 4857, 4007?
Answer: HCF of 924, 4857, 4007 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 924, 4857, 4007 using Euclid's Algorithm?
Answer: For arbitrary numbers 924, 4857, 4007 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.