Highest Common Factor of 3541, 1278 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 3541, 1278 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3541, 1278 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 3541, 1278 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 3541, 1278 is 1.
HCF(3541, 1278) = 1
HCF of 3541, 1278 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3541, 1278 is 1.
Highest Common Factor of 3541,1278 is 1
Step 1: Since 3541 > 1278, we apply the division lemma to 3541 and 1278, to get
3541 = 1278 x 2 + 985
Step 2: Since the reminder 1278 ≠ 0, we apply division lemma to 985 and 1278, to get
1278 = 985 x 1 + 293
Step 3: We consider the new divisor 985 and the new remainder 293, and apply the division lemma to get
985 = 293 x 3 + 106
We consider the new divisor 293 and the new remainder 106,and apply the division lemma to get
293 = 106 x 2 + 81
We consider the new divisor 106 and the new remainder 81,and apply the division lemma to get
106 = 81 x 1 + 25
We consider the new divisor 81 and the new remainder 25,and apply the division lemma to get
81 = 25 x 3 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 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 3541 and 1278 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(81,25) = HCF(106,81) = HCF(293,106) = HCF(985,293) = HCF(1278,985) = HCF(3541,1278) .
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Frequently Asked Questions on HCF of 3541, 1278 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 3541, 1278?
Answer: HCF of 3541, 1278 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3541, 1278 using Euclid's Algorithm?
Answer: For arbitrary numbers 3541, 1278 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.