Highest Common Factor of 7999, 1430 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 7999, 1430 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7999, 1430 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 7999, 1430 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 7999, 1430 is 1.
HCF(7999, 1430) = 1
HCF of 7999, 1430 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7999, 1430 is 1.
Highest Common Factor of 7999,1430 is 1
Step 1: Since 7999 > 1430, we apply the division lemma to 7999 and 1430, to get
7999 = 1430 x 5 + 849
Step 2: Since the reminder 1430 ≠ 0, we apply division lemma to 849 and 1430, to get
1430 = 849 x 1 + 581
Step 3: We consider the new divisor 849 and the new remainder 581, and apply the division lemma to get
849 = 581 x 1 + 268
We consider the new divisor 581 and the new remainder 268,and apply the division lemma to get
581 = 268 x 2 + 45
We consider the new divisor 268 and the new remainder 45,and apply the division lemma to get
268 = 45 x 5 + 43
We consider the new divisor 45 and the new remainder 43,and apply the division lemma to get
45 = 43 x 1 + 2
We consider the new divisor 43 and the new remainder 2,and apply the division lemma to get
43 = 2 x 21 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7999 and 1430 is 1
Notice that 1 = HCF(2,1) = HCF(43,2) = HCF(45,43) = HCF(268,45) = HCF(581,268) = HCF(849,581) = HCF(1430,849) = HCF(7999,1430) .
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Frequently Asked Questions on HCF of 7999, 1430 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 7999, 1430?
Answer: HCF of 7999, 1430 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7999, 1430 using Euclid's Algorithm?
Answer: For arbitrary numbers 7999, 1430 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
