Highest Common Factor of 714, 985, 279 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 714, 985, 279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 714, 985, 279 is 1 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 714, 985, 279 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 714, 985, 279 is 1.
HCF(714, 985, 279) = 1
HCF of 714, 985, 279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 714, 985, 279 is 1.
Highest Common Factor of 714,985,279 is 1
Step 1: Since 985 > 714, we apply the division lemma to 985 and 714, to get
985 = 714 x 1 + 271
Step 2: Since the reminder 714 ≠ 0, we apply division lemma to 271 and 714, to get
714 = 271 x 2 + 172
Step 3: We consider the new divisor 271 and the new remainder 172, and apply the division lemma to get
271 = 172 x 1 + 99
We consider the new divisor 172 and the new remainder 99,and apply the division lemma to get
172 = 99 x 1 + 73
We consider the new divisor 99 and the new remainder 73,and apply the division lemma to get
99 = 73 x 1 + 26
We consider the new divisor 73 and the new remainder 26,and apply the division lemma to get
73 = 26 x 2 + 21
We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 714 and 985 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(73,26) = HCF(99,73) = HCF(172,99) = HCF(271,172) = HCF(714,271) = HCF(985,714) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 279 > 1, we apply the division lemma to 279 and 1, to get
279 = 1 x 279 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 279 is 1
Notice that 1 = HCF(279,1) .
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Frequently Asked Questions on HCF of 714, 985, 279 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 714, 985, 279?
Answer: HCF of 714, 985, 279 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 714, 985, 279 using Euclid's Algorithm?
Answer: For arbitrary numbers 714, 985, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.