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 5011, 3494, 86867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5011, 3494, 86867 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 5011, 3494, 86867 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 5011, 3494, 86867 is 1.
HCF(5011, 3494, 86867) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5011, 3494, 86867 is 1.
Step 1: Since 5011 > 3494, we apply the division lemma to 5011 and 3494, to get
5011 = 3494 x 1 + 1517
Step 2: Since the reminder 3494 ≠ 0, we apply division lemma to 1517 and 3494, to get
3494 = 1517 x 2 + 460
Step 3: We consider the new divisor 1517 and the new remainder 460, and apply the division lemma to get
1517 = 460 x 3 + 137
We consider the new divisor 460 and the new remainder 137,and apply the division lemma to get
460 = 137 x 3 + 49
We consider the new divisor 137 and the new remainder 49,and apply the division lemma to get
137 = 49 x 2 + 39
We consider the new divisor 49 and the new remainder 39,and apply the division lemma to get
49 = 39 x 1 + 10
We consider the new divisor 39 and the new remainder 10,and apply the division lemma to get
39 = 10 x 3 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5011 and 3494 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(39,10) = HCF(49,39) = HCF(137,49) = HCF(460,137) = HCF(1517,460) = HCF(3494,1517) = HCF(5011,3494) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 86867 > 1, we apply the division lemma to 86867 and 1, to get
86867 = 1 x 86867 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 86867 is 1
Notice that 1 = HCF(86867,1) .
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 5011, 3494, 86867?
Answer: HCF of 5011, 3494, 86867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5011, 3494, 86867 using Euclid's Algorithm?
Answer: For arbitrary numbers 5011, 3494, 86867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.