Highest Common Factor of 8248, 4248 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 8248, 4248 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 8248, 4248 is 8 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 8248, 4248 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 8248, 4248 is 8.
HCF(8248, 4248) = 8
HCF of 8248, 4248 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8248, 4248 is 8.
Highest Common Factor of 8248,4248 is 8
Step 1: Since 8248 > 4248, we apply the division lemma to 8248 and 4248, to get
8248 = 4248 x 1 + 4000
Step 2: Since the reminder 4248 ≠ 0, we apply division lemma to 4000 and 4248, to get
4248 = 4000 x 1 + 248
Step 3: We consider the new divisor 4000 and the new remainder 248, and apply the division lemma to get
4000 = 248 x 16 + 32
We consider the new divisor 248 and the new remainder 32,and apply the division lemma to get
248 = 32 x 7 + 24
We consider the new divisor 32 and the new remainder 24,and apply the division lemma to get
32 = 24 x 1 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8248 and 4248 is 8
Notice that 8 = HCF(24,8) = HCF(32,24) = HCF(248,32) = HCF(4000,248) = HCF(4248,4000) = HCF(8248,4248) .
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Frequently Asked Questions on HCF of 8248, 4248 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 8248, 4248?
Answer: HCF of 8248, 4248 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8248, 4248 using Euclid's Algorithm?
Answer: For arbitrary numbers 8248, 4248 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.