Highest Common Factor of 278, 587, 345, 245 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, 587, 345, 245 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 278, 587, 345, 245 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 278, 587, 345, 245 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, 587, 345, 245 is 1.
HCF(278, 587, 345, 245) = 1
HCF of 278, 587, 345, 245 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, 587, 345, 245 is 1.
Highest Common Factor of 278,587,345,245 is 1
Step 1: Since 587 > 278, we apply the division lemma to 587 and 278, to get
587 = 278 x 2 + 31
Step 2: Since the reminder 278 ≠ 0, we apply division lemma to 31 and 278, to get
278 = 31 x 8 + 30
Step 3: We consider the new divisor 31 and the new remainder 30, and apply the division lemma to get
31 = 30 x 1 + 1
We consider the new divisor 30 and the new remainder 1, and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 278 and 587 is 1
Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(278,31) = HCF(587,278) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 345 > 1, we apply the division lemma to 345 and 1, to get
345 = 1 x 345 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 345 is 1
Notice that 1 = HCF(345,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 245 > 1, we apply the division lemma to 245 and 1, to get
245 = 1 x 245 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 245 is 1
Notice that 1 = HCF(245,1) .
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Frequently Asked Questions on HCF of 278, 587, 345, 245 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, 587, 345, 245?
Answer: HCF of 278, 587, 345, 245 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 278, 587, 345, 245 using Euclid's Algorithm?
Answer: For arbitrary numbers 278, 587, 345, 245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.