Highest Common Factor of 918, 340, 768, 332 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, 340, 768, 332 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 918, 340, 768, 332 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, 340, 768, 332 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, 340, 768, 332 is 2.
HCF(918, 340, 768, 332) = 2
HCF of 918, 340, 768, 332 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, 340, 768, 332 is 2.
Highest Common Factor of 918,340,768,332 is 2
Step 1: Since 918 > 340, we apply the division lemma to 918 and 340, to get
918 = 340 x 2 + 238
Step 2: Since the reminder 340 ≠ 0, we apply division lemma to 238 and 340, to get
340 = 238 x 1 + 102
Step 3: We consider the new divisor 238 and the new remainder 102, and apply the division lemma to get
238 = 102 x 2 + 34
We consider the new divisor 102 and the new remainder 34, and apply the division lemma to get
102 = 34 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 918 and 340 is 34
Notice that 34 = HCF(102,34) = HCF(238,102) = HCF(340,238) = HCF(918,340) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 768 > 34, we apply the division lemma to 768 and 34, to get
768 = 34 x 22 + 20
Step 2: Since the reminder 34 ≠ 0, we apply division lemma to 20 and 34, to get
34 = 20 x 1 + 14
Step 3: We consider the new divisor 20 and the new remainder 14, and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 34 and 768 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(34,20) = HCF(768,34) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 332 > 2, we apply the division lemma to 332 and 2, to get
332 = 2 x 166 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 332 is 2
Notice that 2 = HCF(332,2) .
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Frequently Asked Questions on HCF of 918, 340, 768, 332 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, 340, 768, 332?
Answer: HCF of 918, 340, 768, 332 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 918, 340, 768, 332 using Euclid's Algorithm?
Answer: For arbitrary numbers 918, 340, 768, 332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
