Highest Common Factor of 918, 7184, 1052 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, 7184, 1052 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 7184, 1052 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 918, 7184, 1052 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, 7184, 1052 is 2.
HCF(918, 7184, 1052) = 2
HCF of 918, 7184, 1052 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, 7184, 1052 is 2.
Highest Common Factor of 918,7184,1052 is 2
Step 1: Since 7184 > 918, we apply the division lemma to 7184 and 918, to get
7184 = 918 x 7 + 758
Step 2: Since the reminder 918 ≠ 0, we apply division lemma to 758 and 918, to get
918 = 758 x 1 + 160
Step 3: We consider the new divisor 758 and the new remainder 160, and apply the division lemma to get
758 = 160 x 4 + 118
We consider the new divisor 160 and the new remainder 118,and apply the division lemma to get
160 = 118 x 1 + 42
We consider the new divisor 118 and the new remainder 42,and apply the division lemma to get
118 = 42 x 2 + 34
We consider the new divisor 42 and the new remainder 34,and apply the division lemma to get
42 = 34 x 1 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 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 918 and 7184 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(42,34) = HCF(118,42) = HCF(160,118) = HCF(758,160) = HCF(918,758) = HCF(7184,918) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1052 > 2, we apply the division lemma to 1052 and 2, to get
1052 = 2 x 526 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 1052 is 2
Notice that 2 = HCF(1052,2) .
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Frequently Asked Questions on HCF of 918, 7184, 1052 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, 7184, 1052?
Answer: HCF of 918, 7184, 1052 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 7184, 1052 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 7184, 1052 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.