Highest Common Factor of 1226, 6924, 80300 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 1226, 6924, 80300 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1226, 6924, 80300 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 1226, 6924, 80300 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 1226, 6924, 80300 is 2.
HCF(1226, 6924, 80300) = 2
HCF of 1226, 6924, 80300 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1226, 6924, 80300 is 2.
Highest Common Factor of 1226,6924,80300 is 2
Step 1: Since 6924 > 1226, we apply the division lemma to 6924 and 1226, to get
6924 = 1226 x 5 + 794
Step 2: Since the reminder 1226 ≠ 0, we apply division lemma to 794 and 1226, to get
1226 = 794 x 1 + 432
Step 3: We consider the new divisor 794 and the new remainder 432, and apply the division lemma to get
794 = 432 x 1 + 362
We consider the new divisor 432 and the new remainder 362,and apply the division lemma to get
432 = 362 x 1 + 70
We consider the new divisor 362 and the new remainder 70,and apply the division lemma to get
362 = 70 x 5 + 12
We consider the new divisor 70 and the new remainder 12,and apply the division lemma to get
70 = 12 x 5 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1226 and 6924 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(70,12) = HCF(362,70) = HCF(432,362) = HCF(794,432) = HCF(1226,794) = HCF(6924,1226) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80300 > 2, we apply the division lemma to 80300 and 2, to get
80300 = 2 x 40150 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 80300 is 2
Notice that 2 = HCF(80300,2) .
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Frequently Asked Questions on HCF of 1226, 6924, 80300 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 1226, 6924, 80300?
Answer: HCF of 1226, 6924, 80300 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1226, 6924, 80300 using Euclid's Algorithm?
Answer: For arbitrary numbers 1226, 6924, 80300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.