Highest Common Factor of 5878, 8070, 62832 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 5878, 8070, 62832 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5878, 8070, 62832 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 5878, 8070, 62832 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 5878, 8070, 62832 is 2.
HCF(5878, 8070, 62832) = 2
HCF of 5878, 8070, 62832 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5878, 8070, 62832 is 2.
Highest Common Factor of 5878,8070,62832 is 2
Step 1: Since 8070 > 5878, we apply the division lemma to 8070 and 5878, to get
8070 = 5878 x 1 + 2192
Step 2: Since the reminder 5878 ≠ 0, we apply division lemma to 2192 and 5878, to get
5878 = 2192 x 2 + 1494
Step 3: We consider the new divisor 2192 and the new remainder 1494, and apply the division lemma to get
2192 = 1494 x 1 + 698
We consider the new divisor 1494 and the new remainder 698,and apply the division lemma to get
1494 = 698 x 2 + 98
We consider the new divisor 698 and the new remainder 98,and apply the division lemma to get
698 = 98 x 7 + 12
We consider the new divisor 98 and the new remainder 12,and apply the division lemma to get
98 = 12 x 8 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5878 and 8070 is 2
Notice that 2 = HCF(12,2) = HCF(98,12) = HCF(698,98) = HCF(1494,698) = HCF(2192,1494) = HCF(5878,2192) = HCF(8070,5878) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62832 > 2, we apply the division lemma to 62832 and 2, to get
62832 = 2 x 31416 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 62832 is 2
Notice that 2 = HCF(62832,2) .
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Frequently Asked Questions on HCF of 5878, 8070, 62832 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 5878, 8070, 62832?
Answer: HCF of 5878, 8070, 62832 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5878, 8070, 62832 using Euclid's Algorithm?
Answer: For arbitrary numbers 5878, 8070, 62832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.