Highest Common Factor of 751, 4339 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 751, 4339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 751, 4339 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 751, 4339 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 751, 4339 is 1.
HCF(751, 4339) = 1
HCF of 751, 4339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 751, 4339 is 1.
Highest Common Factor of 751,4339 is 1
Step 1: Since 4339 > 751, we apply the division lemma to 4339 and 751, to get
4339 = 751 x 5 + 584
Step 2: Since the reminder 751 ≠ 0, we apply division lemma to 584 and 751, to get
751 = 584 x 1 + 167
Step 3: We consider the new divisor 584 and the new remainder 167, and apply the division lemma to get
584 = 167 x 3 + 83
We consider the new divisor 167 and the new remainder 83,and apply the division lemma to get
167 = 83 x 2 + 1
We consider the new divisor 83 and the new remainder 1,and apply the division lemma to get
83 = 1 x 83 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 751 and 4339 is 1
Notice that 1 = HCF(83,1) = HCF(167,83) = HCF(584,167) = HCF(751,584) = HCF(4339,751) .
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Frequently Asked Questions on HCF of 751, 4339 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 751, 4339?
Answer: HCF of 751, 4339 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 751, 4339 using Euclid's Algorithm?
Answer: For arbitrary numbers 751, 4339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.