Highest Common Factor of 1248, 3946, 98928 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 1248, 3946, 98928 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1248, 3946, 98928 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 1248, 3946, 98928 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 1248, 3946, 98928 is 2.
HCF(1248, 3946, 98928) = 2
HCF of 1248, 3946, 98928 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1248, 3946, 98928 is 2.
Highest Common Factor of 1248,3946,98928 is 2
Step 1: Since 3946 > 1248, we apply the division lemma to 3946 and 1248, to get
3946 = 1248 x 3 + 202
Step 2: Since the reminder 1248 ≠ 0, we apply division lemma to 202 and 1248, to get
1248 = 202 x 6 + 36
Step 3: We consider the new divisor 202 and the new remainder 36, and apply the division lemma to get
202 = 36 x 5 + 22
We consider the new divisor 36 and the new remainder 22,and apply the division lemma to get
36 = 22 x 1 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1248 and 3946 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(36,22) = HCF(202,36) = HCF(1248,202) = HCF(3946,1248) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 98928 > 2, we apply the division lemma to 98928 and 2, to get
98928 = 2 x 49464 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 98928 is 2
Notice that 2 = HCF(98928,2) .
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Frequently Asked Questions on HCF of 1248, 3946, 98928 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 1248, 3946, 98928?
Answer: HCF of 1248, 3946, 98928 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1248, 3946, 98928 using Euclid's Algorithm?
Answer: For arbitrary numbers 1248, 3946, 98928 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.