Highest Common Factor of 168, 714, 434 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 168, 714, 434 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 168, 714, 434 is 14 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 168, 714, 434 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 168, 714, 434 is 14.
HCF(168, 714, 434) = 14
HCF of 168, 714, 434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 168, 714, 434 is 14.
Highest Common Factor of 168,714,434 is 14
Step 1: Since 714 > 168, we apply the division lemma to 714 and 168, to get
714 = 168 x 4 + 42
Step 2: Since the reminder 168 ≠ 0, we apply division lemma to 42 and 168, to get
168 = 42 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 42, the HCF of 168 and 714 is 42
Notice that 42 = HCF(168,42) = HCF(714,168) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 434 > 42, we apply the division lemma to 434 and 42, to get
434 = 42 x 10 + 14
Step 2: Since the reminder 42 ≠ 0, we apply division lemma to 14 and 42, to get
42 = 14 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 42 and 434 is 14
Notice that 14 = HCF(42,14) = HCF(434,42) .
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Frequently Asked Questions on HCF of 168, 714, 434 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 168, 714, 434?
Answer: HCF of 168, 714, 434 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 168, 714, 434 using Euclid's Algorithm?
Answer: For arbitrary numbers 168, 714, 434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.