Highest Common Factor of 4239, 8787 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 4239, 8787 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4239, 8787 is 3 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, 8787 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, 8787 is 3.
HCF(4239, 8787) = 3
HCF of 4239, 8787 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4239, 8787 is 3.
Highest Common Factor of 4239,8787 is 3
Step 1: Since 8787 > 4239, we apply the division lemma to 8787 and 4239, to get
8787 = 4239 x 2 + 309
Step 2: Since the reminder 4239 ≠ 0, we apply division lemma to 309 and 4239, to get
4239 = 309 x 13 + 222
Step 3: We consider the new divisor 309 and the new remainder 222, and apply the division lemma to get
309 = 222 x 1 + 87
We consider the new divisor 222 and the new remainder 87,and apply the division lemma to get
222 = 87 x 2 + 48
We consider the new divisor 87 and the new remainder 48,and apply the division lemma to get
87 = 48 x 1 + 39
We consider the new divisor 48 and the new remainder 39,and apply the division lemma to get
48 = 39 x 1 + 9
We consider the new divisor 39 and the new remainder 9,and apply the division lemma to get
39 = 9 x 4 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4239 and 8787 is 3
Notice that 3 = HCF(9,3) = HCF(39,9) = HCF(48,39) = HCF(87,48) = HCF(222,87) = HCF(309,222) = HCF(4239,309) = HCF(8787,4239) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4239, 8787 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 4239, 8787?
Answer: HCF of 4239, 8787 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4239, 8787 using Euclid's Algorithm?
Answer: For arbitrary numbers 4239, 8787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.