Highest Common Factor of 498, 7285 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 498, 7285 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 498, 7285 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 498, 7285 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 498, 7285 is 1.
HCF(498, 7285) = 1
HCF of 498, 7285 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 498, 7285 is 1.
Highest Common Factor of 498,7285 is 1
Step 1: Since 7285 > 498, we apply the division lemma to 7285 and 498, to get
7285 = 498 x 14 + 313
Step 2: Since the reminder 498 ≠ 0, we apply division lemma to 313 and 498, to get
498 = 313 x 1 + 185
Step 3: We consider the new divisor 313 and the new remainder 185, and apply the division lemma to get
313 = 185 x 1 + 128
We consider the new divisor 185 and the new remainder 128,and apply the division lemma to get
185 = 128 x 1 + 57
We consider the new divisor 128 and the new remainder 57,and apply the division lemma to get
128 = 57 x 2 + 14
We consider the new divisor 57 and the new remainder 14,and apply the division lemma to get
57 = 14 x 4 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 498 and 7285 is 1
Notice that 1 = HCF(14,1) = HCF(57,14) = HCF(128,57) = HCF(185,128) = HCF(313,185) = HCF(498,313) = HCF(7285,498) .
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Frequently Asked Questions on HCF of 498, 7285 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 498, 7285?
Answer: HCF of 498, 7285 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 498, 7285 using Euclid's Algorithm?
Answer: For arbitrary numbers 498, 7285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.