Highest Common Factor of 364, 980, 279, 440 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 364, 980, 279, 440 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 364, 980, 279, 440 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 364, 980, 279, 440 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 364, 980, 279, 440 is 1.
HCF(364, 980, 279, 440) = 1
HCF of 364, 980, 279, 440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 364, 980, 279, 440 is 1.
Highest Common Factor of 364,980,279,440 is 1
Step 1: Since 980 > 364, we apply the division lemma to 980 and 364, to get
980 = 364 x 2 + 252
Step 2: Since the reminder 364 ≠ 0, we apply division lemma to 252 and 364, to get
364 = 252 x 1 + 112
Step 3: We consider the new divisor 252 and the new remainder 112, and apply the division lemma to get
252 = 112 x 2 + 28
We consider the new divisor 112 and the new remainder 28, and apply the division lemma to get
112 = 28 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 28, the HCF of 364 and 980 is 28
Notice that 28 = HCF(112,28) = HCF(252,112) = HCF(364,252) = HCF(980,364) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 279 > 28, we apply the division lemma to 279 and 28, to get
279 = 28 x 9 + 27
Step 2: Since the reminder 28 ≠ 0, we apply division lemma to 27 and 28, to get
28 = 27 x 1 + 1
Step 3: We consider the new divisor 27 and the new remainder 1, and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 28 and 279 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(279,28) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 440 > 1, we apply the division lemma to 440 and 1, to get
440 = 1 x 440 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 440 is 1
Notice that 1 = HCF(440,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 364, 980, 279, 440 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 364, 980, 279, 440?
Answer: HCF of 364, 980, 279, 440 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 364, 980, 279, 440 using Euclid's Algorithm?
Answer: For arbitrary numbers 364, 980, 279, 440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.