Highest Common Factor of 7873, 7424 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 7873, 7424 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7873, 7424 is 1 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 7873, 7424 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 7873, 7424 is 1.
HCF(7873, 7424) = 1
HCF of 7873, 7424 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7873, 7424 is 1.
Highest Common Factor of 7873,7424 is 1
Step 1: Since 7873 > 7424, we apply the division lemma to 7873 and 7424, to get
7873 = 7424 x 1 + 449
Step 2: Since the reminder 7424 ≠ 0, we apply division lemma to 449 and 7424, to get
7424 = 449 x 16 + 240
Step 3: We consider the new divisor 449 and the new remainder 240, and apply the division lemma to get
449 = 240 x 1 + 209
We consider the new divisor 240 and the new remainder 209,and apply the division lemma to get
240 = 209 x 1 + 31
We consider the new divisor 209 and the new remainder 31,and apply the division lemma to get
209 = 31 x 6 + 23
We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get
31 = 23 x 1 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7873 and 7424 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(209,31) = HCF(240,209) = HCF(449,240) = HCF(7424,449) = HCF(7873,7424) .
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Frequently Asked Questions on HCF of 7873, 7424 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 7873, 7424?
Answer: HCF of 7873, 7424 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7873, 7424 using Euclid's Algorithm?
Answer: For arbitrary numbers 7873, 7424 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.