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 975, 55089 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 975, 55089 is 3 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 975, 55089 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 975, 55089 is 3.
HCF(975, 55089) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 975, 55089 is 3.
Step 1: Since 55089 > 975, we apply the division lemma to 55089 and 975, to get
55089 = 975 x 56 + 489
Step 2: Since the reminder 975 ≠ 0, we apply division lemma to 489 and 975, to get
975 = 489 x 1 + 486
Step 3: We consider the new divisor 489 and the new remainder 486, and apply the division lemma to get
489 = 486 x 1 + 3
We consider the new divisor 486 and the new remainder 3, and apply the division lemma to get
486 = 3 x 162 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 975 and 55089 is 3
Notice that 3 = HCF(486,3) = HCF(489,486) = HCF(975,489) = HCF(55089,975) .
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 975, 55089?
Answer: HCF of 975, 55089 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 975, 55089 using Euclid's Algorithm?
Answer: For arbitrary numbers 975, 55089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.