Highest Common Factor of 900, 2670 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 900, 2670 i.e. 30 the largest integer that leaves a remainder zero for all numbers.
HCF of 900, 2670 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 900, 2670 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 900, 2670 is 30.
HCF(900, 2670) = 30
HCF of 900, 2670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 900, 2670 is 30.
Highest Common Factor of 900,2670 is 30
Step 1: Since 2670 > 900, we apply the division lemma to 2670 and 900, to get
2670 = 900 x 2 + 870
Step 2: Since the reminder 900 ≠ 0, we apply division lemma to 870 and 900, to get
900 = 870 x 1 + 30
Step 3: We consider the new divisor 870 and the new remainder 30, and apply the division lemma to get
870 = 30 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 900 and 2670 is 30
Notice that 30 = HCF(870,30) = HCF(900,870) = HCF(2670,900) .
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Frequently Asked Questions on HCF of 900, 2670 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 900, 2670?
Answer: HCF of 900, 2670 is 30 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 900, 2670 using Euclid's Algorithm?
Answer: For arbitrary numbers 900, 2670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.