Highest Common Factor of 9770, 1282 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 9770, 1282 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9770, 1282 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 9770, 1282 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 9770, 1282 is 2.
HCF(9770, 1282) = 2
HCF of 9770, 1282 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9770, 1282 is 2.
Highest Common Factor of 9770,1282 is 2
Step 1: Since 9770 > 1282, we apply the division lemma to 9770 and 1282, to get
9770 = 1282 x 7 + 796
Step 2: Since the reminder 1282 ≠ 0, we apply division lemma to 796 and 1282, to get
1282 = 796 x 1 + 486
Step 3: We consider the new divisor 796 and the new remainder 486, and apply the division lemma to get
796 = 486 x 1 + 310
We consider the new divisor 486 and the new remainder 310,and apply the division lemma to get
486 = 310 x 1 + 176
We consider the new divisor 310 and the new remainder 176,and apply the division lemma to get
310 = 176 x 1 + 134
We consider the new divisor 176 and the new remainder 134,and apply the division lemma to get
176 = 134 x 1 + 42
We consider the new divisor 134 and the new remainder 42,and apply the division lemma to get
134 = 42 x 3 + 8
We consider the new divisor 42 and the new remainder 8,and apply the division lemma to get
42 = 8 x 5 + 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 9770 and 1282 is 2
Notice that 2 = HCF(8,2) = HCF(42,8) = HCF(134,42) = HCF(176,134) = HCF(310,176) = HCF(486,310) = HCF(796,486) = HCF(1282,796) = HCF(9770,1282) .
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Frequently Asked Questions on HCF of 9770, 1282 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 9770, 1282?
Answer: HCF of 9770, 1282 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9770, 1282 using Euclid's Algorithm?
Answer: For arbitrary numbers 9770, 1282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.