Highest Common Factor of 1925, 4559, 36911 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 1925, 4559, 36911 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1925, 4559, 36911 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 1925, 4559, 36911 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 1925, 4559, 36911 is 1.
HCF(1925, 4559, 36911) = 1
HCF of 1925, 4559, 36911 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1925, 4559, 36911 is 1.
Highest Common Factor of 1925,4559,36911 is 1
Step 1: Since 4559 > 1925, we apply the division lemma to 4559 and 1925, to get
4559 = 1925 x 2 + 709
Step 2: Since the reminder 1925 ≠ 0, we apply division lemma to 709 and 1925, to get
1925 = 709 x 2 + 507
Step 3: We consider the new divisor 709 and the new remainder 507, and apply the division lemma to get
709 = 507 x 1 + 202
We consider the new divisor 507 and the new remainder 202,and apply the division lemma to get
507 = 202 x 2 + 103
We consider the new divisor 202 and the new remainder 103,and apply the division lemma to get
202 = 103 x 1 + 99
We consider the new divisor 103 and the new remainder 99,and apply the division lemma to get
103 = 99 x 1 + 4
We consider the new divisor 99 and the new remainder 4,and apply the division lemma to get
99 = 4 x 24 + 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 1925 and 4559 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(99,4) = HCF(103,99) = HCF(202,103) = HCF(507,202) = HCF(709,507) = HCF(1925,709) = HCF(4559,1925) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36911 > 1, we apply the division lemma to 36911 and 1, to get
36911 = 1 x 36911 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36911 is 1
Notice that 1 = HCF(36911,1) .
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Frequently Asked Questions on HCF of 1925, 4559, 36911 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 1925, 4559, 36911?
Answer: HCF of 1925, 4559, 36911 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1925, 4559, 36911 using Euclid's Algorithm?
Answer: For arbitrary numbers 1925, 4559, 36911 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.