Highest Common Factor of 125, 1927, 1625 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 125, 1927, 1625 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 125, 1927, 1625 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 125, 1927, 1625 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 125, 1927, 1625 is 1.
HCF(125, 1927, 1625) = 1
HCF of 125, 1927, 1625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 125, 1927, 1625 is 1.
Highest Common Factor of 125,1927,1625 is 1
Step 1: Since 1927 > 125, we apply the division lemma to 1927 and 125, to get
1927 = 125 x 15 + 52
Step 2: Since the reminder 125 ≠ 0, we apply division lemma to 52 and 125, to get
125 = 52 x 2 + 21
Step 3: We consider the new divisor 52 and the new remainder 21, and apply the division lemma to get
52 = 21 x 2 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 125 and 1927 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(52,21) = HCF(125,52) = HCF(1927,125) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1625 > 1, we apply the division lemma to 1625 and 1, to get
1625 = 1 x 1625 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1625 is 1
Notice that 1 = HCF(1625,1) .
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Frequently Asked Questions on HCF of 125, 1927, 1625 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 125, 1927, 1625?
Answer: HCF of 125, 1927, 1625 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 125, 1927, 1625 using Euclid's Algorithm?
Answer: For arbitrary numbers 125, 1927, 1625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
