Highest Common Factor of 750, 870, 150 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 750, 870, 150 i.e. 30 the largest integer that leaves a remainder zero for all numbers.
HCF of 750, 870, 150 is 30 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 750, 870, 150 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 750, 870, 150 is 30.
HCF(750, 870, 150) = 30
HCF of 750, 870, 150 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 750, 870, 150 is 30.
Highest Common Factor of 750,870,150 is 30
Step 1: Since 870 > 750, we apply the division lemma to 870 and 750, to get
870 = 750 x 1 + 120
Step 2: Since the reminder 750 ≠ 0, we apply division lemma to 120 and 750, to get
750 = 120 x 6 + 30
Step 3: We consider the new divisor 120 and the new remainder 30, and apply the division lemma to get
120 = 30 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 750 and 870 is 30
Notice that 30 = HCF(120,30) = HCF(750,120) = HCF(870,750) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 150 > 30, we apply the division lemma to 150 and 30, to get
150 = 30 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 30 and 150 is 30
Notice that 30 = HCF(150,30) .
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Frequently Asked Questions on HCF of 750, 870, 150 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 750, 870, 150?
Answer: HCF of 750, 870, 150 is 30 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 750, 870, 150 using Euclid's Algorithm?
Answer: For arbitrary numbers 750, 870, 150 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.