Highest Common Factor of 6575, 1226 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 6575, 1226 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6575, 1226 is 1 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 6575, 1226 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 6575, 1226 is 1.
HCF(6575, 1226) = 1
HCF of 6575, 1226 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6575, 1226 is 1.
Highest Common Factor of 6575,1226 is 1
Step 1: Since 6575 > 1226, we apply the division lemma to 6575 and 1226, to get
6575 = 1226 x 5 + 445
Step 2: Since the reminder 1226 ≠ 0, we apply division lemma to 445 and 1226, to get
1226 = 445 x 2 + 336
Step 3: We consider the new divisor 445 and the new remainder 336, and apply the division lemma to get
445 = 336 x 1 + 109
We consider the new divisor 336 and the new remainder 109,and apply the division lemma to get
336 = 109 x 3 + 9
We consider the new divisor 109 and the new remainder 9,and apply the division lemma to get
109 = 9 x 12 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6575 and 1226 is 1
Notice that 1 = HCF(9,1) = HCF(109,9) = HCF(336,109) = HCF(445,336) = HCF(1226,445) = HCF(6575,1226) .
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Frequently Asked Questions on HCF of 6575, 1226 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 6575, 1226?
Answer: HCF of 6575, 1226 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6575, 1226 using Euclid's Algorithm?
Answer: For arbitrary numbers 6575, 1226 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.