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 701, 1911, 5163 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 701, 1911, 5163 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 701, 1911, 5163 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 701, 1911, 5163 is 1.
HCF(701, 1911, 5163) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 701, 1911, 5163 is 1.
Step 1: Since 1911 > 701, we apply the division lemma to 1911 and 701, to get
1911 = 701 x 2 + 509
Step 2: Since the reminder 701 ≠ 0, we apply division lemma to 509 and 701, to get
701 = 509 x 1 + 192
Step 3: We consider the new divisor 509 and the new remainder 192, and apply the division lemma to get
509 = 192 x 2 + 125
We consider the new divisor 192 and the new remainder 125,and apply the division lemma to get
192 = 125 x 1 + 67
We consider the new divisor 125 and the new remainder 67,and apply the division lemma to get
125 = 67 x 1 + 58
We consider the new divisor 67 and the new remainder 58,and apply the division lemma to get
67 = 58 x 1 + 9
We consider the new divisor 58 and the new remainder 9,and apply the division lemma to get
58 = 9 x 6 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 701 and 1911 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(58,9) = HCF(67,58) = HCF(125,67) = HCF(192,125) = HCF(509,192) = HCF(701,509) = HCF(1911,701) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5163 > 1, we apply the division lemma to 5163 and 1, to get
5163 = 1 x 5163 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5163 is 1
Notice that 1 = HCF(5163,1) .
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 701, 1911, 5163?
Answer: HCF of 701, 1911, 5163 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 701, 1911, 5163 using Euclid's Algorithm?
Answer: For arbitrary numbers 701, 1911, 5163 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.