Highest Common Factor of 978, 849, 451, 937 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 978, 849, 451, 937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 978, 849, 451, 937 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 978, 849, 451, 937 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 978, 849, 451, 937 is 1.
HCF(978, 849, 451, 937) = 1
HCF of 978, 849, 451, 937 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 978, 849, 451, 937 is 1.
Highest Common Factor of 978,849,451,937 is 1
Step 1: Since 978 > 849, we apply the division lemma to 978 and 849, to get
978 = 849 x 1 + 129
Step 2: Since the reminder 849 ≠ 0, we apply division lemma to 129 and 849, to get
849 = 129 x 6 + 75
Step 3: We consider the new divisor 129 and the new remainder 75, and apply the division lemma to get
129 = 75 x 1 + 54
We consider the new divisor 75 and the new remainder 54,and apply the division lemma to get
75 = 54 x 1 + 21
We consider the new divisor 54 and the new remainder 21,and apply the division lemma to get
54 = 21 x 2 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 978 and 849 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(54,21) = HCF(75,54) = HCF(129,75) = HCF(849,129) = HCF(978,849) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 451 > 3, we apply the division lemma to 451 and 3, to get
451 = 3 x 150 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 451 is 1
Notice that 1 = HCF(3,1) = HCF(451,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 937 > 1, we apply the division lemma to 937 and 1, to get
937 = 1 x 937 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 937 is 1
Notice that 1 = HCF(937,1) .
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Frequently Asked Questions on HCF of 978, 849, 451, 937 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 978, 849, 451, 937?
Answer: HCF of 978, 849, 451, 937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 978, 849, 451, 937 using Euclid's Algorithm?
Answer: For arbitrary numbers 978, 849, 451, 937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.