Highest Common Factor of 625, 5900, 9500 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 625, 5900, 9500 i.e. 25 the largest integer that leaves a remainder zero for all numbers.
HCF of 625, 5900, 9500 is 25 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 625, 5900, 9500 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 625, 5900, 9500 is 25.
HCF(625, 5900, 9500) = 25
HCF of 625, 5900, 9500 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 625, 5900, 9500 is 25.
Highest Common Factor of 625,5900,9500 is 25
Step 1: Since 5900 > 625, we apply the division lemma to 5900 and 625, to get
5900 = 625 x 9 + 275
Step 2: Since the reminder 625 ≠ 0, we apply division lemma to 275 and 625, to get
625 = 275 x 2 + 75
Step 3: We consider the new divisor 275 and the new remainder 75, and apply the division lemma to get
275 = 75 x 3 + 50
We consider the new divisor 75 and the new remainder 50,and apply the division lemma to get
75 = 50 x 1 + 25
We consider the new divisor 50 and the new remainder 25,and apply the division lemma to get
50 = 25 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 625 and 5900 is 25
Notice that 25 = HCF(50,25) = HCF(75,50) = HCF(275,75) = HCF(625,275) = HCF(5900,625) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9500 > 25, we apply the division lemma to 9500 and 25, to get
9500 = 25 x 380 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 25 and 9500 is 25
Notice that 25 = HCF(9500,25) .
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Frequently Asked Questions on HCF of 625, 5900, 9500 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 625, 5900, 9500?
Answer: HCF of 625, 5900, 9500 is 25 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 625, 5900, 9500 using Euclid's Algorithm?
Answer: For arbitrary numbers 625, 5900, 9500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.