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 6517, 7445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6517, 7445 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 6517, 7445 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 6517, 7445 is 1.
HCF(6517, 7445) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6517, 7445 is 1.
Step 1: Since 7445 > 6517, we apply the division lemma to 7445 and 6517, to get
7445 = 6517 x 1 + 928
Step 2: Since the reminder 6517 ≠ 0, we apply division lemma to 928 and 6517, to get
6517 = 928 x 7 + 21
Step 3: We consider the new divisor 928 and the new remainder 21, and apply the division lemma to get
928 = 21 x 44 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 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 6517 and 7445 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(928,21) = HCF(6517,928) = HCF(7445,6517) .
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 6517, 7445?
Answer: HCF of 6517, 7445 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6517, 7445 using Euclid's Algorithm?
Answer: For arbitrary numbers 6517, 7445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.