Highest Common Factor of 9449, 7214 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 9449, 7214 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9449, 7214 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 9449, 7214 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 9449, 7214 is 1.
HCF(9449, 7214) = 1
HCF of 9449, 7214 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9449, 7214 is 1.
Highest Common Factor of 9449,7214 is 1
Step 1: Since 9449 > 7214, we apply the division lemma to 9449 and 7214, to get
9449 = 7214 x 1 + 2235
Step 2: Since the reminder 7214 ≠ 0, we apply division lemma to 2235 and 7214, to get
7214 = 2235 x 3 + 509
Step 3: We consider the new divisor 2235 and the new remainder 509, and apply the division lemma to get
2235 = 509 x 4 + 199
We consider the new divisor 509 and the new remainder 199,and apply the division lemma to get
509 = 199 x 2 + 111
We consider the new divisor 199 and the new remainder 111,and apply the division lemma to get
199 = 111 x 1 + 88
We consider the new divisor 111 and the new remainder 88,and apply the division lemma to get
111 = 88 x 1 + 23
We consider the new divisor 88 and the new remainder 23,and apply the division lemma to get
88 = 23 x 3 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9449 and 7214 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(88,23) = HCF(111,88) = HCF(199,111) = HCF(509,199) = HCF(2235,509) = HCF(7214,2235) = HCF(9449,7214) .
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Frequently Asked Questions on HCF of 9449, 7214 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 9449, 7214?
Answer: HCF of 9449, 7214 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9449, 7214 using Euclid's Algorithm?
Answer: For arbitrary numbers 9449, 7214 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
