Highest Common Factor of 2150, 6750 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 2150, 6750 i.e. 50 the largest integer that leaves a remainder zero for all numbers.
HCF of 2150, 6750 is 50 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 2150, 6750 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 2150, 6750 is 50.
HCF(2150, 6750) = 50
HCF of 2150, 6750 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2150, 6750 is 50.
Highest Common Factor of 2150,6750 is 50
Step 1: Since 6750 > 2150, we apply the division lemma to 6750 and 2150, to get
6750 = 2150 x 3 + 300
Step 2: Since the reminder 2150 ≠ 0, we apply division lemma to 300 and 2150, to get
2150 = 300 x 7 + 50
Step 3: We consider the new divisor 300 and the new remainder 50, and apply the division lemma to get
300 = 50 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 2150 and 6750 is 50
Notice that 50 = HCF(300,50) = HCF(2150,300) = HCF(6750,2150) .
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Frequently Asked Questions on HCF of 2150, 6750 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 2150, 6750?
Answer: HCF of 2150, 6750 is 50 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2150, 6750 using Euclid's Algorithm?
Answer: For arbitrary numbers 2150, 6750 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.