Highest Common Factor of 7976, 1267, 48780 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 7976, 1267, 48780 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7976, 1267, 48780 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 7976, 1267, 48780 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 7976, 1267, 48780 is 1.
HCF(7976, 1267, 48780) = 1
HCF of 7976, 1267, 48780 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7976, 1267, 48780 is 1.
Highest Common Factor of 7976,1267,48780 is 1
Step 1: Since 7976 > 1267, we apply the division lemma to 7976 and 1267, to get
7976 = 1267 x 6 + 374
Step 2: Since the reminder 1267 ≠ 0, we apply division lemma to 374 and 1267, to get
1267 = 374 x 3 + 145
Step 3: We consider the new divisor 374 and the new remainder 145, and apply the division lemma to get
374 = 145 x 2 + 84
We consider the new divisor 145 and the new remainder 84,and apply the division lemma to get
145 = 84 x 1 + 61
We consider the new divisor 84 and the new remainder 61,and apply the division lemma to get
84 = 61 x 1 + 23
We consider the new divisor 61 and the new remainder 23,and apply the division lemma to get
61 = 23 x 2 + 15
We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get
23 = 15 x 1 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7976 and 1267 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(61,23) = HCF(84,61) = HCF(145,84) = HCF(374,145) = HCF(1267,374) = HCF(7976,1267) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 48780 > 1, we apply the division lemma to 48780 and 1, to get
48780 = 1 x 48780 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48780 is 1
Notice that 1 = HCF(48780,1) .
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Frequently Asked Questions on HCF of 7976, 1267, 48780 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 7976, 1267, 48780?
Answer: HCF of 7976, 1267, 48780 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7976, 1267, 48780 using Euclid's Algorithm?
Answer: For arbitrary numbers 7976, 1267, 48780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.