Highest Common Factor of 980, 7681, 7748 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 980, 7681, 7748 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 7681, 7748 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 980, 7681, 7748 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 980, 7681, 7748 is 1.
HCF(980, 7681, 7748) = 1
HCF of 980, 7681, 7748 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 7681, 7748 is 1.
Highest Common Factor of 980,7681,7748 is 1
Step 1: Since 7681 > 980, we apply the division lemma to 7681 and 980, to get
7681 = 980 x 7 + 821
Step 2: Since the reminder 980 ≠ 0, we apply division lemma to 821 and 980, to get
980 = 821 x 1 + 159
Step 3: We consider the new divisor 821 and the new remainder 159, and apply the division lemma to get
821 = 159 x 5 + 26
We consider the new divisor 159 and the new remainder 26,and apply the division lemma to get
159 = 26 x 6 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 980 and 7681 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(159,26) = HCF(821,159) = HCF(980,821) = HCF(7681,980) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7748 > 1, we apply the division lemma to 7748 and 1, to get
7748 = 1 x 7748 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7748 is 1
Notice that 1 = HCF(7748,1) .
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Frequently Asked Questions on HCF of 980, 7681, 7748 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 980, 7681, 7748?
Answer: HCF of 980, 7681, 7748 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 7681, 7748 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 7681, 7748 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
