Highest Common Factor of 8498, 4288, 48656 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 8498, 4288, 48656 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8498, 4288, 48656 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 8498, 4288, 48656 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 8498, 4288, 48656 is 2.
HCF(8498, 4288, 48656) = 2
HCF of 8498, 4288, 48656 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8498, 4288, 48656 is 2.
Highest Common Factor of 8498,4288,48656 is 2
Step 1: Since 8498 > 4288, we apply the division lemma to 8498 and 4288, to get
8498 = 4288 x 1 + 4210
Step 2: Since the reminder 4288 ≠ 0, we apply division lemma to 4210 and 4288, to get
4288 = 4210 x 1 + 78
Step 3: We consider the new divisor 4210 and the new remainder 78, and apply the division lemma to get
4210 = 78 x 53 + 76
We consider the new divisor 78 and the new remainder 76,and apply the division lemma to get
78 = 76 x 1 + 2
We consider the new divisor 76 and the new remainder 2,and apply the division lemma to get
76 = 2 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8498 and 4288 is 2
Notice that 2 = HCF(76,2) = HCF(78,76) = HCF(4210,78) = HCF(4288,4210) = HCF(8498,4288) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48656 > 2, we apply the division lemma to 48656 and 2, to get
48656 = 2 x 24328 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 48656 is 2
Notice that 2 = HCF(48656,2) .
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Frequently Asked Questions on HCF of 8498, 4288, 48656 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 8498, 4288, 48656?
Answer: HCF of 8498, 4288, 48656 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8498, 4288, 48656 using Euclid's Algorithm?
Answer: For arbitrary numbers 8498, 4288, 48656 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.