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 5195, 8268 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5195, 8268 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 5195, 8268 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 5195, 8268 is 1.
HCF(5195, 8268) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5195, 8268 is 1.
Step 1: Since 8268 > 5195, we apply the division lemma to 8268 and 5195, to get
8268 = 5195 x 1 + 3073
Step 2: Since the reminder 5195 ≠ 0, we apply division lemma to 3073 and 5195, to get
5195 = 3073 x 1 + 2122
Step 3: We consider the new divisor 3073 and the new remainder 2122, and apply the division lemma to get
3073 = 2122 x 1 + 951
We consider the new divisor 2122 and the new remainder 951,and apply the division lemma to get
2122 = 951 x 2 + 220
We consider the new divisor 951 and the new remainder 220,and apply the division lemma to get
951 = 220 x 4 + 71
We consider the new divisor 220 and the new remainder 71,and apply the division lemma to get
220 = 71 x 3 + 7
We consider the new divisor 71 and the new remainder 7,and apply the division lemma to get
71 = 7 x 10 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5195 and 8268 is 1
Notice that 1 = HCF(7,1) = HCF(71,7) = HCF(220,71) = HCF(951,220) = HCF(2122,951) = HCF(3073,2122) = HCF(5195,3073) = HCF(8268,5195) .
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 5195, 8268?
Answer: HCF of 5195, 8268 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5195, 8268 using Euclid's Algorithm?
Answer: For arbitrary numbers 5195, 8268 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.