Highest Common Factor of 1486, 988 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 1486, 988 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1486, 988 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 1486, 988 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 1486, 988 is 2.
HCF(1486, 988) = 2
HCF of 1486, 988 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1486, 988 is 2.
Highest Common Factor of 1486,988 is 2
Step 1: Since 1486 > 988, we apply the division lemma to 1486 and 988, to get
1486 = 988 x 1 + 498
Step 2: Since the reminder 988 ≠ 0, we apply division lemma to 498 and 988, to get
988 = 498 x 1 + 490
Step 3: We consider the new divisor 498 and the new remainder 490, and apply the division lemma to get
498 = 490 x 1 + 8
We consider the new divisor 490 and the new remainder 8,and apply the division lemma to get
490 = 8 x 61 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1486 and 988 is 2
Notice that 2 = HCF(8,2) = HCF(490,8) = HCF(498,490) = HCF(988,498) = HCF(1486,988) .
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Frequently Asked Questions on HCF of 1486, 988 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 1486, 988?
Answer: HCF of 1486, 988 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1486, 988 using Euclid's Algorithm?
Answer: For arbitrary numbers 1486, 988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.