Highest Common Factor of 4029, 7525 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 4029, 7525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4029, 7525 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 4029, 7525 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 4029, 7525 is 1.
HCF(4029, 7525) = 1
HCF of 4029, 7525 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4029, 7525 is 1.
Highest Common Factor of 4029,7525 is 1
Step 1: Since 7525 > 4029, we apply the division lemma to 7525 and 4029, to get
7525 = 4029 x 1 + 3496
Step 2: Since the reminder 4029 ≠ 0, we apply division lemma to 3496 and 4029, to get
4029 = 3496 x 1 + 533
Step 3: We consider the new divisor 3496 and the new remainder 533, and apply the division lemma to get
3496 = 533 x 6 + 298
We consider the new divisor 533 and the new remainder 298,and apply the division lemma to get
533 = 298 x 1 + 235
We consider the new divisor 298 and the new remainder 235,and apply the division lemma to get
298 = 235 x 1 + 63
We consider the new divisor 235 and the new remainder 63,and apply the division lemma to get
235 = 63 x 3 + 46
We consider the new divisor 63 and the new remainder 46,and apply the division lemma to get
63 = 46 x 1 + 17
We consider the new divisor 46 and the new remainder 17,and apply the division lemma to get
46 = 17 x 2 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 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 4029 and 7525 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(46,17) = HCF(63,46) = HCF(235,63) = HCF(298,235) = HCF(533,298) = HCF(3496,533) = HCF(4029,3496) = HCF(7525,4029) .
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Frequently Asked Questions on HCF of 4029, 7525 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 4029, 7525?
Answer: HCF of 4029, 7525 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4029, 7525 using Euclid's Algorithm?
Answer: For arbitrary numbers 4029, 7525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
