Highest Common Factor of 616, 392, 776 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 616, 392, 776 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 616, 392, 776 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 616, 392, 776 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 616, 392, 776 is 8.
HCF(616, 392, 776) = 8
HCF of 616, 392, 776 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 616, 392, 776 is 8.
Highest Common Factor of 616,392,776 is 8
Step 1: Since 616 > 392, we apply the division lemma to 616 and 392, to get
616 = 392 x 1 + 224
Step 2: Since the reminder 392 ≠ 0, we apply division lemma to 224 and 392, to get
392 = 224 x 1 + 168
Step 3: We consider the new divisor 224 and the new remainder 168, and apply the division lemma to get
224 = 168 x 1 + 56
We consider the new divisor 168 and the new remainder 56, and apply the division lemma to get
168 = 56 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 56, the HCF of 616 and 392 is 56
Notice that 56 = HCF(168,56) = HCF(224,168) = HCF(392,224) = HCF(616,392) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 776 > 56, we apply the division lemma to 776 and 56, to get
776 = 56 x 13 + 48
Step 2: Since the reminder 56 ≠ 0, we apply division lemma to 48 and 56, to get
56 = 48 x 1 + 8
Step 3: We consider the new divisor 48 and the new remainder 8, and apply the division lemma to get
48 = 8 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 56 and 776 is 8
Notice that 8 = HCF(48,8) = HCF(56,48) = HCF(776,56) .
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Frequently Asked Questions on HCF of 616, 392, 776 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 616, 392, 776?
Answer: HCF of 616, 392, 776 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 616, 392, 776 using Euclid's Algorithm?
Answer: For arbitrary numbers 616, 392, 776 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.