Highest Common Factor of 927, 99080 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 927, 99080 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 927, 99080 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 927, 99080 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 927, 99080 is 1.
HCF(927, 99080) = 1
HCF of 927, 99080 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 927, 99080 is 1.
Highest Common Factor of 927,99080 is 1
Step 1: Since 99080 > 927, we apply the division lemma to 99080 and 927, to get
99080 = 927 x 106 + 818
Step 2: Since the reminder 927 ≠ 0, we apply division lemma to 818 and 927, to get
927 = 818 x 1 + 109
Step 3: We consider the new divisor 818 and the new remainder 109, and apply the division lemma to get
818 = 109 x 7 + 55
We consider the new divisor 109 and the new remainder 55,and apply the division lemma to get
109 = 55 x 1 + 54
We consider the new divisor 55 and the new remainder 54,and apply the division lemma to get
55 = 54 x 1 + 1
We consider the new divisor 54 and the new remainder 1,and apply the division lemma to get
54 = 1 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 927 and 99080 is 1
Notice that 1 = HCF(54,1) = HCF(55,54) = HCF(109,55) = HCF(818,109) = HCF(927,818) = HCF(99080,927) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 927, 99080 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 927, 99080?
Answer: HCF of 927, 99080 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 927, 99080 using Euclid's Algorithm?
Answer: For arbitrary numbers 927, 99080 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.