Highest Common Factor of 8048, 5398, 52966 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 8048, 5398, 52966 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8048, 5398, 52966 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 8048, 5398, 52966 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 8048, 5398, 52966 is 2.
HCF(8048, 5398, 52966) = 2
HCF of 8048, 5398, 52966 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8048, 5398, 52966 is 2.
Highest Common Factor of 8048,5398,52966 is 2
Step 1: Since 8048 > 5398, we apply the division lemma to 8048 and 5398, to get
8048 = 5398 x 1 + 2650
Step 2: Since the reminder 5398 ≠ 0, we apply division lemma to 2650 and 5398, to get
5398 = 2650 x 2 + 98
Step 3: We consider the new divisor 2650 and the new remainder 98, and apply the division lemma to get
2650 = 98 x 27 + 4
We consider the new divisor 98 and the new remainder 4,and apply the division lemma to get
98 = 4 x 24 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 8048 and 5398 is 2
Notice that 2 = HCF(4,2) = HCF(98,4) = HCF(2650,98) = HCF(5398,2650) = HCF(8048,5398) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52966 > 2, we apply the division lemma to 52966 and 2, to get
52966 = 2 x 26483 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 52966 is 2
Notice that 2 = HCF(52966,2) .
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Frequently Asked Questions on HCF of 8048, 5398, 52966 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 8048, 5398, 52966?
Answer: HCF of 8048, 5398, 52966 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8048, 5398, 52966 using Euclid's Algorithm?
Answer: For arbitrary numbers 8048, 5398, 52966 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.