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 6297, 7550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6297, 7550 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 6297, 7550 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 6297, 7550 is 1.
HCF(6297, 7550) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6297, 7550 is 1.
Step 1: Since 7550 > 6297, we apply the division lemma to 7550 and 6297, to get
7550 = 6297 x 1 + 1253
Step 2: Since the reminder 6297 ≠ 0, we apply division lemma to 1253 and 6297, to get
6297 = 1253 x 5 + 32
Step 3: We consider the new divisor 1253 and the new remainder 32, and apply the division lemma to get
1253 = 32 x 39 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 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 6297 and 7550 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(1253,32) = HCF(6297,1253) = HCF(7550,6297) .
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 6297, 7550?
Answer: HCF of 6297, 7550 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6297, 7550 using Euclid's Algorithm?
Answer: For arbitrary numbers 6297, 7550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.