Highest Common Factor of 1278, 7642, 69904 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 1278, 7642, 69904 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1278, 7642, 69904 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 1278, 7642, 69904 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 1278, 7642, 69904 is 2.
HCF(1278, 7642, 69904) = 2
HCF of 1278, 7642, 69904 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1278, 7642, 69904 is 2.
Highest Common Factor of 1278,7642,69904 is 2
Step 1: Since 7642 > 1278, we apply the division lemma to 7642 and 1278, to get
7642 = 1278 x 5 + 1252
Step 2: Since the reminder 1278 ≠ 0, we apply division lemma to 1252 and 1278, to get
1278 = 1252 x 1 + 26
Step 3: We consider the new divisor 1252 and the new remainder 26, and apply the division lemma to get
1252 = 26 x 48 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 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 1278 and 7642 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(1252,26) = HCF(1278,1252) = HCF(7642,1278) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69904 > 2, we apply the division lemma to 69904 and 2, to get
69904 = 2 x 34952 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 69904 is 2
Notice that 2 = HCF(69904,2) .
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Frequently Asked Questions on HCF of 1278, 7642, 69904 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 1278, 7642, 69904?
Answer: HCF of 1278, 7642, 69904 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1278, 7642, 69904 using Euclid's Algorithm?
Answer: For arbitrary numbers 1278, 7642, 69904 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
