Highest Common Factor of 360, 982 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 360, 982 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 360, 982 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 360, 982 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 360, 982 is 2.
HCF(360, 982) = 2
HCF of 360, 982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 360, 982 is 2.
Highest Common Factor of 360,982 is 2
Step 1: Since 982 > 360, we apply the division lemma to 982 and 360, to get
982 = 360 x 2 + 262
Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 262 and 360, to get
360 = 262 x 1 + 98
Step 3: We consider the new divisor 262 and the new remainder 98, and apply the division lemma to get
262 = 98 x 2 + 66
We consider the new divisor 98 and the new remainder 66,and apply the division lemma to get
98 = 66 x 1 + 32
We consider the new divisor 66 and the new remainder 32,and apply the division lemma to get
66 = 32 x 2 + 2
We consider the new divisor 32 and the new remainder 2,and apply the division lemma to get
32 = 2 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 360 and 982 is 2
Notice that 2 = HCF(32,2) = HCF(66,32) = HCF(98,66) = HCF(262,98) = HCF(360,262) = HCF(982,360) .
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Frequently Asked Questions on HCF of 360, 982 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 360, 982?
Answer: HCF of 360, 982 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 360, 982 using Euclid's Algorithm?
Answer: For arbitrary numbers 360, 982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.