Highest Common Factor of 4450, 1924 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 4450, 1924 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4450, 1924 is 2 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 4450, 1924 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 4450, 1924 is 2.
HCF(4450, 1924) = 2
HCF of 4450, 1924 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4450, 1924 is 2.
Highest Common Factor of 4450,1924 is 2
Step 1: Since 4450 > 1924, we apply the division lemma to 4450 and 1924, to get
4450 = 1924 x 2 + 602
Step 2: Since the reminder 1924 ≠ 0, we apply division lemma to 602 and 1924, to get
1924 = 602 x 3 + 118
Step 3: We consider the new divisor 602 and the new remainder 118, and apply the division lemma to get
602 = 118 x 5 + 12
We consider the new divisor 118 and the new remainder 12,and apply the division lemma to get
118 = 12 x 9 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4450 and 1924 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(118,12) = HCF(602,118) = HCF(1924,602) = HCF(4450,1924) .
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Frequently Asked Questions on HCF of 4450, 1924 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 4450, 1924?
Answer: HCF of 4450, 1924 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4450, 1924 using Euclid's Algorithm?
Answer: For arbitrary numbers 4450, 1924 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.