Highest Common Factor of 3525, 4409, 77454 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 3525, 4409, 77454 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3525, 4409, 77454 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 3525, 4409, 77454 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 3525, 4409, 77454 is 1.
HCF(3525, 4409, 77454) = 1
HCF of 3525, 4409, 77454 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3525, 4409, 77454 is 1.
Highest Common Factor of 3525,4409,77454 is 1
Step 1: Since 4409 > 3525, we apply the division lemma to 4409 and 3525, to get
4409 = 3525 x 1 + 884
Step 2: Since the reminder 3525 ≠ 0, we apply division lemma to 884 and 3525, to get
3525 = 884 x 3 + 873
Step 3: We consider the new divisor 884 and the new remainder 873, and apply the division lemma to get
884 = 873 x 1 + 11
We consider the new divisor 873 and the new remainder 11,and apply the division lemma to get
873 = 11 x 79 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3525 and 4409 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(873,11) = HCF(884,873) = HCF(3525,884) = HCF(4409,3525) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77454 > 1, we apply the division lemma to 77454 and 1, to get
77454 = 1 x 77454 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77454 is 1
Notice that 1 = HCF(77454,1) .
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Frequently Asked Questions on HCF of 3525, 4409, 77454 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 3525, 4409, 77454?
Answer: HCF of 3525, 4409, 77454 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3525, 4409, 77454 using Euclid's Algorithm?
Answer: For arbitrary numbers 3525, 4409, 77454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.