Highest Common Factor of 7435, 9202 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 7435, 9202 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7435, 9202 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 7435, 9202 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 7435, 9202 is 1.
HCF(7435, 9202) = 1
HCF of 7435, 9202 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7435, 9202 is 1.
Highest Common Factor of 7435,9202 is 1
Step 1: Since 9202 > 7435, we apply the division lemma to 9202 and 7435, to get
9202 = 7435 x 1 + 1767
Step 2: Since the reminder 7435 ≠ 0, we apply division lemma to 1767 and 7435, to get
7435 = 1767 x 4 + 367
Step 3: We consider the new divisor 1767 and the new remainder 367, and apply the division lemma to get
1767 = 367 x 4 + 299
We consider the new divisor 367 and the new remainder 299,and apply the division lemma to get
367 = 299 x 1 + 68
We consider the new divisor 299 and the new remainder 68,and apply the division lemma to get
299 = 68 x 4 + 27
We consider the new divisor 68 and the new remainder 27,and apply the division lemma to get
68 = 27 x 2 + 14
We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get
27 = 14 x 1 + 13
We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get
14 = 13 x 1 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7435 and 9202 is 1
Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(68,27) = HCF(299,68) = HCF(367,299) = HCF(1767,367) = HCF(7435,1767) = HCF(9202,7435) .
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Frequently Asked Questions on HCF of 7435, 9202 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 7435, 9202?
Answer: HCF of 7435, 9202 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7435, 9202 using Euclid's Algorithm?
Answer: For arbitrary numbers 7435, 9202 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.