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 4246, 6047, 88315 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4246, 6047, 88315 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 4246, 6047, 88315 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 4246, 6047, 88315 is 1.
HCF(4246, 6047, 88315) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4246, 6047, 88315 is 1.
Step 1: Since 6047 > 4246, we apply the division lemma to 6047 and 4246, to get
6047 = 4246 x 1 + 1801
Step 2: Since the reminder 4246 ≠ 0, we apply division lemma to 1801 and 4246, to get
4246 = 1801 x 2 + 644
Step 3: We consider the new divisor 1801 and the new remainder 644, and apply the division lemma to get
1801 = 644 x 2 + 513
We consider the new divisor 644 and the new remainder 513,and apply the division lemma to get
644 = 513 x 1 + 131
We consider the new divisor 513 and the new remainder 131,and apply the division lemma to get
513 = 131 x 3 + 120
We consider the new divisor 131 and the new remainder 120,and apply the division lemma to get
131 = 120 x 1 + 11
We consider the new divisor 120 and the new remainder 11,and apply the division lemma to get
120 = 11 x 10 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4246 and 6047 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(120,11) = HCF(131,120) = HCF(513,131) = HCF(644,513) = HCF(1801,644) = HCF(4246,1801) = HCF(6047,4246) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 88315 > 1, we apply the division lemma to 88315 and 1, to get
88315 = 1 x 88315 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88315 is 1
Notice that 1 = HCF(88315,1) .
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 4246, 6047, 88315?
Answer: HCF of 4246, 6047, 88315 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4246, 6047, 88315 using Euclid's Algorithm?
Answer: For arbitrary numbers 4246, 6047, 88315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.