Highest Common Factor of 6770, 9204 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 6770, 9204 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6770, 9204 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 6770, 9204 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 6770, 9204 is 2.
HCF(6770, 9204) = 2
HCF of 6770, 9204 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6770, 9204 is 2.
Highest Common Factor of 6770,9204 is 2
Step 1: Since 9204 > 6770, we apply the division lemma to 9204 and 6770, to get
9204 = 6770 x 1 + 2434
Step 2: Since the reminder 6770 ≠ 0, we apply division lemma to 2434 and 6770, to get
6770 = 2434 x 2 + 1902
Step 3: We consider the new divisor 2434 and the new remainder 1902, and apply the division lemma to get
2434 = 1902 x 1 + 532
We consider the new divisor 1902 and the new remainder 532,and apply the division lemma to get
1902 = 532 x 3 + 306
We consider the new divisor 532 and the new remainder 306,and apply the division lemma to get
532 = 306 x 1 + 226
We consider the new divisor 306 and the new remainder 226,and apply the division lemma to get
306 = 226 x 1 + 80
We consider the new divisor 226 and the new remainder 80,and apply the division lemma to get
226 = 80 x 2 + 66
We consider the new divisor 80 and the new remainder 66,and apply the division lemma to get
80 = 66 x 1 + 14
We consider the new divisor 66 and the new remainder 14,and apply the division lemma to get
66 = 14 x 4 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 6770 and 9204 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(66,14) = HCF(80,66) = HCF(226,80) = HCF(306,226) = HCF(532,306) = HCF(1902,532) = HCF(2434,1902) = HCF(6770,2434) = HCF(9204,6770) .
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Frequently Asked Questions on HCF of 6770, 9204 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 6770, 9204?
Answer: HCF of 6770, 9204 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6770, 9204 using Euclid's Algorithm?
Answer: For arbitrary numbers 6770, 9204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
