Highest Common Factor of 4061, 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 4061, 7525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4061, 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 4061, 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 4061, 7525 is 1.
HCF(4061, 7525) = 1
HCF of 4061, 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 4061, 7525 is 1.
Highest Common Factor of 4061,7525 is 1
Step 1: Since 7525 > 4061, we apply the division lemma to 7525 and 4061, to get
7525 = 4061 x 1 + 3464
Step 2: Since the reminder 4061 ≠ 0, we apply division lemma to 3464 and 4061, to get
4061 = 3464 x 1 + 597
Step 3: We consider the new divisor 3464 and the new remainder 597, and apply the division lemma to get
3464 = 597 x 5 + 479
We consider the new divisor 597 and the new remainder 479,and apply the division lemma to get
597 = 479 x 1 + 118
We consider the new divisor 479 and the new remainder 118,and apply the division lemma to get
479 = 118 x 4 + 7
We consider the new divisor 118 and the new remainder 7,and apply the division lemma to get
118 = 7 x 16 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4061 and 7525 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(118,7) = HCF(479,118) = HCF(597,479) = HCF(3464,597) = HCF(4061,3464) = HCF(7525,4061) .
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Frequently Asked Questions on HCF of 4061, 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 4061, 7525?
Answer: HCF of 4061, 7525 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4061, 7525 using Euclid's Algorithm?
Answer: For arbitrary numbers 4061, 7525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.