Highest Common Factor of 5475, 6525 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 5475, 6525 i.e. 75 the largest integer that leaves a remainder zero for all numbers.
HCF of 5475, 6525 is 75 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 5475, 6525 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 5475, 6525 is 75.
HCF(5475, 6525) = 75
HCF of 5475, 6525 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5475, 6525 is 75.
Highest Common Factor of 5475,6525 is 75
Step 1: Since 6525 > 5475, we apply the division lemma to 6525 and 5475, to get
6525 = 5475 x 1 + 1050
Step 2: Since the reminder 5475 ≠ 0, we apply division lemma to 1050 and 5475, to get
5475 = 1050 x 5 + 225
Step 3: We consider the new divisor 1050 and the new remainder 225, and apply the division lemma to get
1050 = 225 x 4 + 150
We consider the new divisor 225 and the new remainder 150,and apply the division lemma to get
225 = 150 x 1 + 75
We consider the new divisor 150 and the new remainder 75,and apply the division lemma to get
150 = 75 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 75, the HCF of 5475 and 6525 is 75
Notice that 75 = HCF(150,75) = HCF(225,150) = HCF(1050,225) = HCF(5475,1050) = HCF(6525,5475) .
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Frequently Asked Questions on HCF of 5475, 6525 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 5475, 6525?
Answer: HCF of 5475, 6525 is 75 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5475, 6525 using Euclid's Algorithm?
Answer: For arbitrary numbers 5475, 6525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.