Highest Common Factor of 7878, 6394 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 7878, 6394 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7878, 6394 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 7878, 6394 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 7878, 6394 is 2.
HCF(7878, 6394) = 2
HCF of 7878, 6394 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7878, 6394 is 2.
Highest Common Factor of 7878,6394 is 2
Step 1: Since 7878 > 6394, we apply the division lemma to 7878 and 6394, to get
7878 = 6394 x 1 + 1484
Step 2: Since the reminder 6394 ≠ 0, we apply division lemma to 1484 and 6394, to get
6394 = 1484 x 4 + 458
Step 3: We consider the new divisor 1484 and the new remainder 458, and apply the division lemma to get
1484 = 458 x 3 + 110
We consider the new divisor 458 and the new remainder 110,and apply the division lemma to get
458 = 110 x 4 + 18
We consider the new divisor 110 and the new remainder 18,and apply the division lemma to get
110 = 18 x 6 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7878 and 6394 is 2
Notice that 2 = HCF(18,2) = HCF(110,18) = HCF(458,110) = HCF(1484,458) = HCF(6394,1484) = HCF(7878,6394) .
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Frequently Asked Questions on HCF of 7878, 6394 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 7878, 6394?
Answer: HCF of 7878, 6394 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7878, 6394 using Euclid's Algorithm?
Answer: For arbitrary numbers 7878, 6394 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
