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Highest Common Factor of 78, 156, 169 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 78, 156, 169 i.e. 13 the largest integer that leaves a remainder zero for all numbers.

HCF of 78, 156, 169 is 13 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 78, 156, 169 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 78, 156, 169 is 13.

HCF(78, 156, 169) = 13

HCF of 78, 156, 169 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 78, 156, 169 is 13.

Highest Common Factor of 78,156,169 using Euclid's algorithm

Step 1: Since 156 > 78, we apply the division lemma to 156 and 78, to get

156 = 78 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 78, the HCF of 78 and 156 is 78

Notice that 78 = HCF(156,78) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 169 > 78, we apply the division lemma to 169 and 78, to get

169 = 78 x 2 + 13

Step 2: Since the reminder 78 ≠ 0, we apply division lemma to 13 and 78, to get

78 = 13 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 78 and 169 is 13

Notice that 13 = HCF(78,13) = HCF(169,78) .

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Frequently Asked Questions on HCF of 78, 156, 169 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 78, 156, 169?

Answer: HCF of 78, 156, 169 is 13 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 78, 156, 169 using Euclid's Algorithm?

Answer: For arbitrary numbers 78, 156, 169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.