Highest Common Factor of 390, 334, 360 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 390, 334, 360 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 390, 334, 360 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 390, 334, 360 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 390, 334, 360 is 2.
HCF(390, 334, 360) = 2
HCF of 390, 334, 360 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 390, 334, 360 is 2.
Highest Common Factor of 390,334,360 is 2
Step 1: Since 390 > 334, we apply the division lemma to 390 and 334, to get
390 = 334 x 1 + 56
Step 2: Since the reminder 334 ≠ 0, we apply division lemma to 56 and 334, to get
334 = 56 x 5 + 54
Step 3: We consider the new divisor 56 and the new remainder 54, and apply the division lemma to get
56 = 54 x 1 + 2
We consider the new divisor 54 and the new remainder 2, and apply the division lemma to get
54 = 2 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 390 and 334 is 2
Notice that 2 = HCF(54,2) = HCF(56,54) = HCF(334,56) = HCF(390,334) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 360 > 2, we apply the division lemma to 360 and 2, to get
360 = 2 x 180 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 360 is 2
Notice that 2 = HCF(360,2) .
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Frequently Asked Questions on HCF of 390, 334, 360 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 390, 334, 360?
Answer: HCF of 390, 334, 360 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 390, 334, 360 using Euclid's Algorithm?
Answer: For arbitrary numbers 390, 334, 360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.