Highest Common Factor of 918, 799, 400 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 918, 799, 400 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 799, 400 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 918, 799, 400 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 918, 799, 400 is 1.
HCF(918, 799, 400) = 1
HCF of 918, 799, 400 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 918, 799, 400 is 1.
Highest Common Factor of 918,799,400 is 1
Step 1: Since 918 > 799, we apply the division lemma to 918 and 799, to get
918 = 799 x 1 + 119
Step 2: Since the reminder 799 ≠ 0, we apply division lemma to 119 and 799, to get
799 = 119 x 6 + 85
Step 3: We consider the new divisor 119 and the new remainder 85, and apply the division lemma to get
119 = 85 x 1 + 34
We consider the new divisor 85 and the new remainder 34,and apply the division lemma to get
85 = 34 x 2 + 17
We consider the new divisor 34 and the new remainder 17,and apply the division lemma to get
34 = 17 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 918 and 799 is 17
Notice that 17 = HCF(34,17) = HCF(85,34) = HCF(119,85) = HCF(799,119) = HCF(918,799) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 400 > 17, we apply the division lemma to 400 and 17, to get
400 = 17 x 23 + 9
Step 2: Since the reminder 17 ≠ 0, we apply division lemma to 9 and 17, to get
17 = 9 x 1 + 8
Step 3: We consider the new divisor 9 and the new remainder 8, and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1, and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 17 and 400 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(400,17) .
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Frequently Asked Questions on HCF of 918, 799, 400 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 918, 799, 400?
Answer: HCF of 918, 799, 400 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 799, 400 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 799, 400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.