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 5570, 987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5570, 987 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 5570, 987 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 5570, 987 is 1.
HCF(5570, 987) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5570, 987 is 1.
Step 1: Since 5570 > 987, we apply the division lemma to 5570 and 987, to get
5570 = 987 x 5 + 635
Step 2: Since the reminder 987 ≠ 0, we apply division lemma to 635 and 987, to get
987 = 635 x 1 + 352
Step 3: We consider the new divisor 635 and the new remainder 352, and apply the division lemma to get
635 = 352 x 1 + 283
We consider the new divisor 352 and the new remainder 283,and apply the division lemma to get
352 = 283 x 1 + 69
We consider the new divisor 283 and the new remainder 69,and apply the division lemma to get
283 = 69 x 4 + 7
We consider the new divisor 69 and the new remainder 7,and apply the division lemma to get
69 = 7 x 9 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5570 and 987 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(69,7) = HCF(283,69) = HCF(352,283) = HCF(635,352) = HCF(987,635) = HCF(5570,987) .
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 5570, 987?
Answer: HCF of 5570, 987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5570, 987 using Euclid's Algorithm?
Answer: For arbitrary numbers 5570, 987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.