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 7541, 5165 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7541, 5165 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 7541, 5165 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 7541, 5165 is 1.
HCF(7541, 5165) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7541, 5165 is 1.
Step 1: Since 7541 > 5165, we apply the division lemma to 7541 and 5165, to get
7541 = 5165 x 1 + 2376
Step 2: Since the reminder 5165 ≠ 0, we apply division lemma to 2376 and 5165, to get
5165 = 2376 x 2 + 413
Step 3: We consider the new divisor 2376 and the new remainder 413, and apply the division lemma to get
2376 = 413 x 5 + 311
We consider the new divisor 413 and the new remainder 311,and apply the division lemma to get
413 = 311 x 1 + 102
We consider the new divisor 311 and the new remainder 102,and apply the division lemma to get
311 = 102 x 3 + 5
We consider the new divisor 102 and the new remainder 5,and apply the division lemma to get
102 = 5 x 20 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7541 and 5165 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(102,5) = HCF(311,102) = HCF(413,311) = HCF(2376,413) = HCF(5165,2376) = HCF(7541,5165) .
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 7541, 5165?
Answer: HCF of 7541, 5165 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7541, 5165 using Euclid's Algorithm?
Answer: For arbitrary numbers 7541, 5165 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.