Highest Common Factor of 776, 664 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 776, 664 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 776, 664 is 8 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 776, 664 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 776, 664 is 8.
HCF(776, 664) = 8
HCF of 776, 664 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 776, 664 is 8.
Highest Common Factor of 776,664 is 8
Step 1: Since 776 > 664, we apply the division lemma to 776 and 664, to get
776 = 664 x 1 + 112
Step 2: Since the reminder 664 ≠ 0, we apply division lemma to 112 and 664, to get
664 = 112 x 5 + 104
Step 3: We consider the new divisor 112 and the new remainder 104, and apply the division lemma to get
112 = 104 x 1 + 8
We consider the new divisor 104 and the new remainder 8, and apply the division lemma to get
104 = 8 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 776 and 664 is 8
Notice that 8 = HCF(104,8) = HCF(112,104) = HCF(664,112) = HCF(776,664) .
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Frequently Asked Questions on HCF of 776, 664 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 776, 664?
Answer: HCF of 776, 664 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 776, 664 using Euclid's Algorithm?
Answer: For arbitrary numbers 776, 664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
