Highest Common Factor of 2833, 7946 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 2833, 7946 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2833, 7946 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 2833, 7946 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 2833, 7946 is 1.
HCF(2833, 7946) = 1
HCF of 2833, 7946 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2833, 7946 is 1.
Highest Common Factor of 2833,7946 is 1
Step 1: Since 7946 > 2833, we apply the division lemma to 7946 and 2833, to get
7946 = 2833 x 2 + 2280
Step 2: Since the reminder 2833 ≠ 0, we apply division lemma to 2280 and 2833, to get
2833 = 2280 x 1 + 553
Step 3: We consider the new divisor 2280 and the new remainder 553, and apply the division lemma to get
2280 = 553 x 4 + 68
We consider the new divisor 553 and the new remainder 68,and apply the division lemma to get
553 = 68 x 8 + 9
We consider the new divisor 68 and the new remainder 9,and apply the division lemma to get
68 = 9 x 7 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2833 and 7946 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(68,9) = HCF(553,68) = HCF(2280,553) = HCF(2833,2280) = HCF(7946,2833) .
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Frequently Asked Questions on HCF of 2833, 7946 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 2833, 7946?
Answer: HCF of 2833, 7946 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2833, 7946 using Euclid's Algorithm?
Answer: For arbitrary numbers 2833, 7946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
