Highest Common Factor of 525, 3325 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 525, 3325 i.e. 175 the largest integer that leaves a remainder zero for all numbers.
HCF of 525, 3325 is 175 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 525, 3325 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 525, 3325 is 175.
HCF(525, 3325) = 175
HCF of 525, 3325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 525, 3325 is 175.
Highest Common Factor of 525,3325 is 175
Step 1: Since 3325 > 525, we apply the division lemma to 3325 and 525, to get
3325 = 525 x 6 + 175
Step 2: Since the reminder 525 ≠ 0, we apply division lemma to 175 and 525, to get
525 = 175 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 175, the HCF of 525 and 3325 is 175
Notice that 175 = HCF(525,175) = HCF(3325,525) .
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Frequently Asked Questions on HCF of 525, 3325 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 525, 3325?
Answer: HCF of 525, 3325 is 175 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 525, 3325 using Euclid's Algorithm?
Answer: For arbitrary numbers 525, 3325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.