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 554, 313, 535, 949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 554, 313, 535, 949 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 554, 313, 535, 949 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 554, 313, 535, 949 is 1.
HCF(554, 313, 535, 949) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 554, 313, 535, 949 is 1.
Step 1: Since 554 > 313, we apply the division lemma to 554 and 313, to get
554 = 313 x 1 + 241
Step 2: Since the reminder 313 ≠ 0, we apply division lemma to 241 and 313, to get
313 = 241 x 1 + 72
Step 3: We consider the new divisor 241 and the new remainder 72, and apply the division lemma to get
241 = 72 x 3 + 25
We consider the new divisor 72 and the new remainder 25,and apply the division lemma to get
72 = 25 x 2 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 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 554 and 313 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(72,25) = HCF(241,72) = HCF(313,241) = HCF(554,313) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 535 > 1, we apply the division lemma to 535 and 1, to get
535 = 1 x 535 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 535 is 1
Notice that 1 = HCF(535,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 949 > 1, we apply the division lemma to 949 and 1, to get
949 = 1 x 949 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 949 is 1
Notice that 1 = HCF(949,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 554, 313, 535, 949?
Answer: HCF of 554, 313, 535, 949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 554, 313, 535, 949 using Euclid's Algorithm?
Answer: For arbitrary numbers 554, 313, 535, 949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.