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 985, 553, 554 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 985, 553, 554 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 985, 553, 554 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 985, 553, 554 is 1.
HCF(985, 553, 554) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 985, 553, 554 is 1.
Step 1: Since 985 > 553, we apply the division lemma to 985 and 553, to get
985 = 553 x 1 + 432
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 432 and 553, to get
553 = 432 x 1 + 121
Step 3: We consider the new divisor 432 and the new remainder 121, and apply the division lemma to get
432 = 121 x 3 + 69
We consider the new divisor 121 and the new remainder 69,and apply the division lemma to get
121 = 69 x 1 + 52
We consider the new divisor 69 and the new remainder 52,and apply the division lemma to get
69 = 52 x 1 + 17
We consider the new divisor 52 and the new remainder 17,and apply the division lemma to get
52 = 17 x 3 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 985 and 553 is 1
Notice that 1 = HCF(17,1) = HCF(52,17) = HCF(69,52) = HCF(121,69) = HCF(432,121) = HCF(553,432) = HCF(985,553) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 554 > 1, we apply the division lemma to 554 and 1, to get
554 = 1 x 554 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 554 is 1
Notice that 1 = HCF(554,1) .
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 985, 553, 554?
Answer: HCF of 985, 553, 554 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 985, 553, 554 using Euclid's Algorithm?
Answer: For arbitrary numbers 985, 553, 554 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.