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 5066, 3296, 59169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5066, 3296, 59169 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 5066, 3296, 59169 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 5066, 3296, 59169 is 1.
HCF(5066, 3296, 59169) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5066, 3296, 59169 is 1.
Step 1: Since 5066 > 3296, we apply the division lemma to 5066 and 3296, to get
5066 = 3296 x 1 + 1770
Step 2: Since the reminder 3296 ≠ 0, we apply division lemma to 1770 and 3296, to get
3296 = 1770 x 1 + 1526
Step 3: We consider the new divisor 1770 and the new remainder 1526, and apply the division lemma to get
1770 = 1526 x 1 + 244
We consider the new divisor 1526 and the new remainder 244,and apply the division lemma to get
1526 = 244 x 6 + 62
We consider the new divisor 244 and the new remainder 62,and apply the division lemma to get
244 = 62 x 3 + 58
We consider the new divisor 62 and the new remainder 58,and apply the division lemma to get
62 = 58 x 1 + 4
We consider the new divisor 58 and the new remainder 4,and apply the division lemma to get
58 = 4 x 14 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5066 and 3296 is 2
Notice that 2 = HCF(4,2) = HCF(58,4) = HCF(62,58) = HCF(244,62) = HCF(1526,244) = HCF(1770,1526) = HCF(3296,1770) = HCF(5066,3296) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59169 > 2, we apply the division lemma to 59169 and 2, to get
59169 = 2 x 29584 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 59169 is 1
Notice that 1 = HCF(2,1) = HCF(59169,2) .
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 5066, 3296, 59169?
Answer: HCF of 5066, 3296, 59169 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5066, 3296, 59169 using Euclid's Algorithm?
Answer: For arbitrary numbers 5066, 3296, 59169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.