Highest Common Factor of 4224, 1900 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 4224, 1900 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4224, 1900 is 4 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 4224, 1900 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 4224, 1900 is 4.
HCF(4224, 1900) = 4
HCF of 4224, 1900 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4224, 1900 is 4.
Highest Common Factor of 4224,1900 is 4
Step 1: Since 4224 > 1900, we apply the division lemma to 4224 and 1900, to get
4224 = 1900 x 2 + 424
Step 2: Since the reminder 1900 ≠ 0, we apply division lemma to 424 and 1900, to get
1900 = 424 x 4 + 204
Step 3: We consider the new divisor 424 and the new remainder 204, and apply the division lemma to get
424 = 204 x 2 + 16
We consider the new divisor 204 and the new remainder 16,and apply the division lemma to get
204 = 16 x 12 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4224 and 1900 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(204,16) = HCF(424,204) = HCF(1900,424) = HCF(4224,1900) .
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Frequently Asked Questions on HCF of 4224, 1900 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 4224, 1900?
Answer: HCF of 4224, 1900 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4224, 1900 using Euclid's Algorithm?
Answer: For arbitrary numbers 4224, 1900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.