Highest Common Factor of 1525, 4295 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 1525, 4295 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1525, 4295 is 5 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 1525, 4295 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 1525, 4295 is 5.
HCF(1525, 4295) = 5
HCF of 1525, 4295 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1525, 4295 is 5.
Highest Common Factor of 1525,4295 is 5
Step 1: Since 4295 > 1525, we apply the division lemma to 4295 and 1525, to get
4295 = 1525 x 2 + 1245
Step 2: Since the reminder 1525 ≠ 0, we apply division lemma to 1245 and 1525, to get
1525 = 1245 x 1 + 280
Step 3: We consider the new divisor 1245 and the new remainder 280, and apply the division lemma to get
1245 = 280 x 4 + 125
We consider the new divisor 280 and the new remainder 125,and apply the division lemma to get
280 = 125 x 2 + 30
We consider the new divisor 125 and the new remainder 30,and apply the division lemma to get
125 = 30 x 4 + 5
We consider the new divisor 30 and the new remainder 5,and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 1525 and 4295 is 5
Notice that 5 = HCF(30,5) = HCF(125,30) = HCF(280,125) = HCF(1245,280) = HCF(1525,1245) = HCF(4295,1525) .
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Frequently Asked Questions on HCF of 1525, 4295 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 1525, 4295?
Answer: HCF of 1525, 4295 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1525, 4295 using Euclid's Algorithm?
Answer: For arbitrary numbers 1525, 4295 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.