Highest Common Factor of 6630, 9199 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 6630, 9199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6630, 9199 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 6630, 9199 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 6630, 9199 is 1.
HCF(6630, 9199) = 1
HCF of 6630, 9199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6630, 9199 is 1.
Highest Common Factor of 6630,9199 is 1
Step 1: Since 9199 > 6630, we apply the division lemma to 9199 and 6630, to get
9199 = 6630 x 1 + 2569
Step 2: Since the reminder 6630 ≠ 0, we apply division lemma to 2569 and 6630, to get
6630 = 2569 x 2 + 1492
Step 3: We consider the new divisor 2569 and the new remainder 1492, and apply the division lemma to get
2569 = 1492 x 1 + 1077
We consider the new divisor 1492 and the new remainder 1077,and apply the division lemma to get
1492 = 1077 x 1 + 415
We consider the new divisor 1077 and the new remainder 415,and apply the division lemma to get
1077 = 415 x 2 + 247
We consider the new divisor 415 and the new remainder 247,and apply the division lemma to get
415 = 247 x 1 + 168
We consider the new divisor 247 and the new remainder 168,and apply the division lemma to get
247 = 168 x 1 + 79
We consider the new divisor 168 and the new remainder 79,and apply the division lemma to get
168 = 79 x 2 + 10
We consider the new divisor 79 and the new remainder 10,and apply the division lemma to get
79 = 10 x 7 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 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 6630 and 9199 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(79,10) = HCF(168,79) = HCF(247,168) = HCF(415,247) = HCF(1077,415) = HCF(1492,1077) = HCF(2569,1492) = HCF(6630,2569) = HCF(9199,6630) .
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Frequently Asked Questions on HCF of 6630, 9199 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 6630, 9199?
Answer: HCF of 6630, 9199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6630, 9199 using Euclid's Algorithm?
Answer: For arbitrary numbers 6630, 9199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.