Highest Common Factor of 925, 8849, 3296 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 925, 8849, 3296 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 8849, 3296 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 925, 8849, 3296 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 925, 8849, 3296 is 1.
HCF(925, 8849, 3296) = 1
HCF of 925, 8849, 3296 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 925, 8849, 3296 is 1.
Highest Common Factor of 925,8849,3296 is 1
Step 1: Since 8849 > 925, we apply the division lemma to 8849 and 925, to get
8849 = 925 x 9 + 524
Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 524 and 925, to get
925 = 524 x 1 + 401
Step 3: We consider the new divisor 524 and the new remainder 401, and apply the division lemma to get
524 = 401 x 1 + 123
We consider the new divisor 401 and the new remainder 123,and apply the division lemma to get
401 = 123 x 3 + 32
We consider the new divisor 123 and the new remainder 32,and apply the division lemma to get
123 = 32 x 3 + 27
We consider the new divisor 32 and the new remainder 27,and apply the division lemma to get
32 = 27 x 1 + 5
We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get
27 = 5 x 5 + 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 925 and 8849 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(32,27) = HCF(123,32) = HCF(401,123) = HCF(524,401) = HCF(925,524) = HCF(8849,925) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3296 > 1, we apply the division lemma to 3296 and 1, to get
3296 = 1 x 3296 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3296 is 1
Notice that 1 = HCF(3296,1) .
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Frequently Asked Questions on HCF of 925, 8849, 3296 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 925, 8849, 3296?
Answer: HCF of 925, 8849, 3296 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 8849, 3296 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 8849, 3296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.