Highest Common Factor of 150, 250, 375 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 150, 250, 375 i.e. 25 the largest integer that leaves a remainder zero for all numbers.
HCF of 150, 250, 375 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 150, 250, 375 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 150, 250, 375 is 25.
HCF(150, 250, 375) = 25
HCF of 150, 250, 375 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 150, 250, 375 is 25.
Highest Common Factor of 150,250,375 is 25
Step 1: Since 250 > 150, we apply the division lemma to 250 and 150, to get
250 = 150 x 1 + 100
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 100 and 150, to get
150 = 100 x 1 + 50
Step 3: We consider the new divisor 100 and the new remainder 50, and apply the division lemma to get
100 = 50 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 150 and 250 is 50
Notice that 50 = HCF(100,50) = HCF(150,100) = HCF(250,150) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 375 > 50, we apply the division lemma to 375 and 50, to get
375 = 50 x 7 + 25
Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 25 and 50, 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 50 and 375 is 25
Notice that 25 = HCF(50,25) = HCF(375,50) .
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Frequently Asked Questions on HCF of 150, 250, 375 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 150, 250, 375?
Answer: HCF of 150, 250, 375 is 25 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 150, 250, 375 using Euclid's Algorithm?
Answer: For arbitrary numbers 150, 250, 375 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
