Highest Common Factor of 3724, 7796, 25946 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 3724, 7796, 25946 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3724, 7796, 25946 is 2 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 3724, 7796, 25946 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 3724, 7796, 25946 is 2.
HCF(3724, 7796, 25946) = 2
HCF of 3724, 7796, 25946 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3724, 7796, 25946 is 2.
Highest Common Factor of 3724,7796,25946 is 2
Step 1: Since 7796 > 3724, we apply the division lemma to 7796 and 3724, to get
7796 = 3724 x 2 + 348
Step 2: Since the reminder 3724 ≠ 0, we apply division lemma to 348 and 3724, to get
3724 = 348 x 10 + 244
Step 3: We consider the new divisor 348 and the new remainder 244, and apply the division lemma to get
348 = 244 x 1 + 104
We consider the new divisor 244 and the new remainder 104,and apply the division lemma to get
244 = 104 x 2 + 36
We consider the new divisor 104 and the new remainder 36,and apply the division lemma to get
104 = 36 x 2 + 32
We consider the new divisor 36 and the new remainder 32,and apply the division lemma to get
36 = 32 x 1 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3724 and 7796 is 4
Notice that 4 = HCF(32,4) = HCF(36,32) = HCF(104,36) = HCF(244,104) = HCF(348,244) = HCF(3724,348) = HCF(7796,3724) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25946 > 4, we apply the division lemma to 25946 and 4, to get
25946 = 4 x 6486 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 25946 is 2
Notice that 2 = HCF(4,2) = HCF(25946,4) .
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Frequently Asked Questions on HCF of 3724, 7796, 25946 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 3724, 7796, 25946?
Answer: HCF of 3724, 7796, 25946 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3724, 7796, 25946 using Euclid's Algorithm?
Answer: For arbitrary numbers 3724, 7796, 25946 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.