Highest Common Factor of 278, 594, 914, 52 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 278, 594, 914, 52 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 278, 594, 914, 52 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 278, 594, 914, 52 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 278, 594, 914, 52 is 2.
HCF(278, 594, 914, 52) = 2
HCF of 278, 594, 914, 52 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 278, 594, 914, 52 is 2.
Highest Common Factor of 278,594,914,52 is 2
Step 1: Since 594 > 278, we apply the division lemma to 594 and 278, to get
594 = 278 x 2 + 38
Step 2: Since the reminder 278 ≠ 0, we apply division lemma to 38 and 278, to get
278 = 38 x 7 + 12
Step 3: We consider the new divisor 38 and the new remainder 12, and apply the division lemma to get
38 = 12 x 3 + 2
We consider the new divisor 12 and the new remainder 2, and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 278 and 594 is 2
Notice that 2 = HCF(12,2) = HCF(38,12) = HCF(278,38) = HCF(594,278) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 914 > 2, we apply the division lemma to 914 and 2, to get
914 = 2 x 457 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 914 is 2
Notice that 2 = HCF(914,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52 > 2, we apply the division lemma to 52 and 2, to get
52 = 2 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 52 is 2
Notice that 2 = HCF(52,2) .
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Frequently Asked Questions on HCF of 278, 594, 914, 52 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 278, 594, 914, 52?
Answer: HCF of 278, 594, 914, 52 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 278, 594, 914, 52 using Euclid's Algorithm?
Answer: For arbitrary numbers 278, 594, 914, 52 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.