Highest Common Factor of 999, 777 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 999, 777 i.e. 111 the largest integer that leaves a remainder zero for all numbers.
HCF of 999, 777 is 111 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 999, 777 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 999, 777 is 111.
HCF(999, 777) = 111
HCF of 999, 777 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 999, 777 is 111.
Highest Common Factor of 999,777 is 111
Step 1: Since 999 > 777, we apply the division lemma to 999 and 777, to get
999 = 777 x 1 + 222
Step 2: Since the reminder 777 ≠ 0, we apply division lemma to 222 and 777, to get
777 = 222 x 3 + 111
Step 3: We consider the new divisor 222 and the new remainder 111, and apply the division lemma to get
222 = 111 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 111, the HCF of 999 and 777 is 111
Notice that 111 = HCF(222,111) = HCF(777,222) = HCF(999,777) .
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Frequently Asked Questions on HCF of 999, 777 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 999, 777?
Answer: HCF of 999, 777 is 111 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 999, 777 using Euclid's Algorithm?
Answer: For arbitrary numbers 999, 777 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.