Highest Common Factor of 835, 7908, 5969 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 835, 7908, 5969 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 835, 7908, 5969 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 835, 7908, 5969 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 835, 7908, 5969 is 1.
HCF(835, 7908, 5969) = 1
HCF of 835, 7908, 5969 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 835, 7908, 5969 is 1.
Highest Common Factor of 835,7908,5969 is 1
Step 1: Since 7908 > 835, we apply the division lemma to 7908 and 835, to get
7908 = 835 x 9 + 393
Step 2: Since the reminder 835 ≠ 0, we apply division lemma to 393 and 835, to get
835 = 393 x 2 + 49
Step 3: We consider the new divisor 393 and the new remainder 49, and apply the division lemma to get
393 = 49 x 8 + 1
We consider the new divisor 49 and the new remainder 1, and apply the division lemma to get
49 = 1 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 835 and 7908 is 1
Notice that 1 = HCF(49,1) = HCF(393,49) = HCF(835,393) = HCF(7908,835) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5969 > 1, we apply the division lemma to 5969 and 1, to get
5969 = 1 x 5969 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5969 is 1
Notice that 1 = HCF(5969,1) .
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Frequently Asked Questions on HCF of 835, 7908, 5969 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 835, 7908, 5969?
Answer: HCF of 835, 7908, 5969 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 835, 7908, 5969 using Euclid's Algorithm?
Answer: For arbitrary numbers 835, 7908, 5969 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.