Highest Common Factor of 974, 741, 259, 439 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 974, 741, 259, 439 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 974, 741, 259, 439 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 974, 741, 259, 439 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 974, 741, 259, 439 is 1.
HCF(974, 741, 259, 439) = 1
HCF of 974, 741, 259, 439 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 974, 741, 259, 439 is 1.
Highest Common Factor of 974,741,259,439 is 1
Step 1: Since 974 > 741, we apply the division lemma to 974 and 741, to get
974 = 741 x 1 + 233
Step 2: Since the reminder 741 ≠ 0, we apply division lemma to 233 and 741, to get
741 = 233 x 3 + 42
Step 3: We consider the new divisor 233 and the new remainder 42, and apply the division lemma to get
233 = 42 x 5 + 23
We consider the new divisor 42 and the new remainder 23,and apply the division lemma to get
42 = 23 x 1 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 974 and 741 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(42,23) = HCF(233,42) = HCF(741,233) = HCF(974,741) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 259 > 1, we apply the division lemma to 259 and 1, to get
259 = 1 x 259 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 259 is 1
Notice that 1 = HCF(259,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 439 > 1, we apply the division lemma to 439 and 1, to get
439 = 1 x 439 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 439 is 1
Notice that 1 = HCF(439,1) .
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Frequently Asked Questions on HCF of 974, 741, 259, 439 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 974, 741, 259, 439?
Answer: HCF of 974, 741, 259, 439 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 974, 741, 259, 439 using Euclid's Algorithm?
Answer: For arbitrary numbers 974, 741, 259, 439 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.