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 5163, 1351 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5163, 1351 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 5163, 1351 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 5163, 1351 is 1.
HCF(5163, 1351) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5163, 1351 is 1.
Step 1: Since 5163 > 1351, we apply the division lemma to 5163 and 1351, to get
5163 = 1351 x 3 + 1110
Step 2: Since the reminder 1351 ≠ 0, we apply division lemma to 1110 and 1351, to get
1351 = 1110 x 1 + 241
Step 3: We consider the new divisor 1110 and the new remainder 241, and apply the division lemma to get
1110 = 241 x 4 + 146
We consider the new divisor 241 and the new remainder 146,and apply the division lemma to get
241 = 146 x 1 + 95
We consider the new divisor 146 and the new remainder 95,and apply the division lemma to get
146 = 95 x 1 + 51
We consider the new divisor 95 and the new remainder 51,and apply the division lemma to get
95 = 51 x 1 + 44
We consider the new divisor 51 and the new remainder 44,and apply the division lemma to get
51 = 44 x 1 + 7
We consider the new divisor 44 and the new remainder 7,and apply the division lemma to get
44 = 7 x 6 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5163 and 1351 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(44,7) = HCF(51,44) = HCF(95,51) = HCF(146,95) = HCF(241,146) = HCF(1110,241) = HCF(1351,1110) = HCF(5163,1351) .
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 5163, 1351?
Answer: HCF of 5163, 1351 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5163, 1351 using Euclid's Algorithm?
Answer: For arbitrary numbers 5163, 1351 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.