Highest Common Factor of 4526, 4141 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 4526, 4141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4526, 4141 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 4526, 4141 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 4526, 4141 is 1.
HCF(4526, 4141) = 1
HCF of 4526, 4141 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4526, 4141 is 1.
Highest Common Factor of 4526,4141 is 1
Step 1: Since 4526 > 4141, we apply the division lemma to 4526 and 4141, to get
4526 = 4141 x 1 + 385
Step 2: Since the reminder 4141 ≠ 0, we apply division lemma to 385 and 4141, to get
4141 = 385 x 10 + 291
Step 3: We consider the new divisor 385 and the new remainder 291, and apply the division lemma to get
385 = 291 x 1 + 94
We consider the new divisor 291 and the new remainder 94,and apply the division lemma to get
291 = 94 x 3 + 9
We consider the new divisor 94 and the new remainder 9,and apply the division lemma to get
94 = 9 x 10 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4526 and 4141 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(94,9) = HCF(291,94) = HCF(385,291) = HCF(4141,385) = HCF(4526,4141) .
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Frequently Asked Questions on HCF of 4526, 4141 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 4526, 4141?
Answer: HCF of 4526, 4141 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4526, 4141 using Euclid's Algorithm?
Answer: For arbitrary numbers 4526, 4141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
