Highest Common Factor of 987, 293, 490, 437 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 987, 293, 490, 437 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 987, 293, 490, 437 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 987, 293, 490, 437 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 987, 293, 490, 437 is 1.
HCF(987, 293, 490, 437) = 1
HCF of 987, 293, 490, 437 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 987, 293, 490, 437 is 1.
Highest Common Factor of 987,293,490,437 is 1
Step 1: Since 987 > 293, we apply the division lemma to 987 and 293, to get
987 = 293 x 3 + 108
Step 2: Since the reminder 293 ≠ 0, we apply division lemma to 108 and 293, to get
293 = 108 x 2 + 77
Step 3: We consider the new divisor 108 and the new remainder 77, and apply the division lemma to get
108 = 77 x 1 + 31
We consider the new divisor 77 and the new remainder 31,and apply the division lemma to get
77 = 31 x 2 + 15
We consider the new divisor 31 and the new remainder 15,and apply the division lemma to get
31 = 15 x 2 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 987 and 293 is 1
Notice that 1 = HCF(15,1) = HCF(31,15) = HCF(77,31) = HCF(108,77) = HCF(293,108) = HCF(987,293) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 490 > 1, we apply the division lemma to 490 and 1, to get
490 = 1 x 490 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 490 is 1
Notice that 1 = HCF(490,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 437 > 1, we apply the division lemma to 437 and 1, to get
437 = 1 x 437 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 437 is 1
Notice that 1 = HCF(437,1) .
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Frequently Asked Questions on HCF of 987, 293, 490, 437 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 987, 293, 490, 437?
Answer: HCF of 987, 293, 490, 437 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 987, 293, 490, 437 using Euclid's Algorithm?
Answer: For arbitrary numbers 987, 293, 490, 437 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.