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 4239, 9554, 48271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4239, 9554, 48271 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 4239, 9554, 48271 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 4239, 9554, 48271 is 1.
HCF(4239, 9554, 48271) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4239, 9554, 48271 is 1.
Step 1: Since 9554 > 4239, we apply the division lemma to 9554 and 4239, to get
9554 = 4239 x 2 + 1076
Step 2: Since the reminder 4239 ≠ 0, we apply division lemma to 1076 and 4239, to get
4239 = 1076 x 3 + 1011
Step 3: We consider the new divisor 1076 and the new remainder 1011, and apply the division lemma to get
1076 = 1011 x 1 + 65
We consider the new divisor 1011 and the new remainder 65,and apply the division lemma to get
1011 = 65 x 15 + 36
We consider the new divisor 65 and the new remainder 36,and apply the division lemma to get
65 = 36 x 1 + 29
We consider the new divisor 36 and the new remainder 29,and apply the division lemma to get
36 = 29 x 1 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4239 and 9554 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(36,29) = HCF(65,36) = HCF(1011,65) = HCF(1076,1011) = HCF(4239,1076) = HCF(9554,4239) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48271 > 1, we apply the division lemma to 48271 and 1, to get
48271 = 1 x 48271 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48271 is 1
Notice that 1 = HCF(48271,1) .
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 4239, 9554, 48271?
Answer: HCF of 4239, 9554, 48271 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4239, 9554, 48271 using Euclid's Algorithm?
Answer: For arbitrary numbers 4239, 9554, 48271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.