Highest Common Factor of 7959, 9494 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 7959, 9494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7959, 9494 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 7959, 9494 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 7959, 9494 is 1.
HCF(7959, 9494) = 1
HCF of 7959, 9494 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7959, 9494 is 1.
Highest Common Factor of 7959,9494 is 1
Step 1: Since 9494 > 7959, we apply the division lemma to 9494 and 7959, to get
9494 = 7959 x 1 + 1535
Step 2: Since the reminder 7959 ≠ 0, we apply division lemma to 1535 and 7959, to get
7959 = 1535 x 5 + 284
Step 3: We consider the new divisor 1535 and the new remainder 284, and apply the division lemma to get
1535 = 284 x 5 + 115
We consider the new divisor 284 and the new remainder 115,and apply the division lemma to get
284 = 115 x 2 + 54
We consider the new divisor 115 and the new remainder 54,and apply the division lemma to get
115 = 54 x 2 + 7
We consider the new divisor 54 and the new remainder 7,and apply the division lemma to get
54 = 7 x 7 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7959 and 9494 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(54,7) = HCF(115,54) = HCF(284,115) = HCF(1535,284) = HCF(7959,1535) = HCF(9494,7959) .
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Frequently Asked Questions on HCF of 7959, 9494 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 7959, 9494?
Answer: HCF of 7959, 9494 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7959, 9494 using Euclid's Algorithm?
Answer: For arbitrary numbers 7959, 9494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.