Highest Common Factor of 5095, 7268 using Euclid's algorithm
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 5095, 7268 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5095, 7268 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 5095, 7268 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 5095, 7268 is 1.
HCF(5095, 7268) = 1
HCF of 5095, 7268 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5095, 7268 is 1.
Highest Common Factor of 5095,7268 is 1
Step 1: Since 7268 > 5095, we apply the division lemma to 7268 and 5095, to get
7268 = 5095 x 1 + 2173
Step 2: Since the reminder 5095 ≠ 0, we apply division lemma to 2173 and 5095, to get
5095 = 2173 x 2 + 749
Step 3: We consider the new divisor 2173 and the new remainder 749, and apply the division lemma to get
2173 = 749 x 2 + 675
We consider the new divisor 749 and the new remainder 675,and apply the division lemma to get
749 = 675 x 1 + 74
We consider the new divisor 675 and the new remainder 74,and apply the division lemma to get
675 = 74 x 9 + 9
We consider the new divisor 74 and the new remainder 9,and apply the division lemma to get
74 = 9 x 8 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 5095 and 7268 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(74,9) = HCF(675,74) = HCF(749,675) = HCF(2173,749) = HCF(5095,2173) = HCF(7268,5095) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5095, 7268 using Euclid's Algorithm
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 5095, 7268?
Answer: HCF of 5095, 7268 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5095, 7268 using Euclid's Algorithm?
Answer: For arbitrary numbers 5095, 7268 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
