Highest Common Factor of 4141, 9555 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 4141, 9555 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4141, 9555 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 4141, 9555 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 4141, 9555 is 1.
HCF(4141, 9555) = 1
HCF of 4141, 9555 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4141, 9555 is 1.
Highest Common Factor of 4141,9555 is 1
Step 1: Since 9555 > 4141, we apply the division lemma to 9555 and 4141, to get
9555 = 4141 x 2 + 1273
Step 2: Since the reminder 4141 ≠ 0, we apply division lemma to 1273 and 4141, to get
4141 = 1273 x 3 + 322
Step 3: We consider the new divisor 1273 and the new remainder 322, and apply the division lemma to get
1273 = 322 x 3 + 307
We consider the new divisor 322 and the new remainder 307,and apply the division lemma to get
322 = 307 x 1 + 15
We consider the new divisor 307 and the new remainder 15,and apply the division lemma to get
307 = 15 x 20 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4141 and 9555 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(307,15) = HCF(322,307) = HCF(1273,322) = HCF(4141,1273) = HCF(9555,4141) .
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Frequently Asked Questions on HCF of 4141, 9555 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 4141, 9555?
Answer: HCF of 4141, 9555 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4141, 9555 using Euclid's Algorithm?
Answer: For arbitrary numbers 4141, 9555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.