Highest Common Factor of 150, 690, 925 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, 690, 925 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 150, 690, 925 is 5 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, 690, 925 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, 690, 925 is 5.
HCF(150, 690, 925) = 5
HCF of 150, 690, 925 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, 690, 925 is 5.
Highest Common Factor of 150,690,925 is 5
Step 1: Since 690 > 150, we apply the division lemma to 690 and 150, to get
690 = 150 x 4 + 90
Step 2: Since the reminder 150 ≠ 0, we apply division lemma to 90 and 150, to get
150 = 90 x 1 + 60
Step 3: We consider the new divisor 90 and the new remainder 60, and apply the division lemma to get
90 = 60 x 1 + 30
We consider the new divisor 60 and the new remainder 30, and apply the division lemma to get
60 = 30 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 150 and 690 is 30
Notice that 30 = HCF(60,30) = HCF(90,60) = HCF(150,90) = HCF(690,150) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 925 > 30, we apply the division lemma to 925 and 30, to get
925 = 30 x 30 + 25
Step 2: Since the reminder 30 ≠ 0, we apply division lemma to 25 and 30, to get
30 = 25 x 1 + 5
Step 3: We consider the new divisor 25 and the new remainder 5, and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 30 and 925 is 5
Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(925,30) .
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Frequently Asked Questions on HCF of 150, 690, 925 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, 690, 925?
Answer: HCF of 150, 690, 925 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 150, 690, 925 using Euclid's Algorithm?
Answer: For arbitrary numbers 150, 690, 925 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.