Highest Common Factor of 4375, 3479 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 4375, 3479 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4375, 3479 is 7 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 4375, 3479 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 4375, 3479 is 7.
HCF(4375, 3479) = 7
HCF of 4375, 3479 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4375, 3479 is 7.
Highest Common Factor of 4375,3479 is 7
Step 1: Since 4375 > 3479, we apply the division lemma to 4375 and 3479, to get
4375 = 3479 x 1 + 896
Step 2: Since the reminder 3479 ≠ 0, we apply division lemma to 896 and 3479, to get
3479 = 896 x 3 + 791
Step 3: We consider the new divisor 896 and the new remainder 791, and apply the division lemma to get
896 = 791 x 1 + 105
We consider the new divisor 791 and the new remainder 105,and apply the division lemma to get
791 = 105 x 7 + 56
We consider the new divisor 105 and the new remainder 56,and apply the division lemma to get
105 = 56 x 1 + 49
We consider the new divisor 56 and the new remainder 49,and apply the division lemma to get
56 = 49 x 1 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4375 and 3479 is 7
Notice that 7 = HCF(49,7) = HCF(56,49) = HCF(105,56) = HCF(791,105) = HCF(896,791) = HCF(3479,896) = HCF(4375,3479) .
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Frequently Asked Questions on HCF of 4375, 3479 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 4375, 3479?
Answer: HCF of 4375, 3479 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4375, 3479 using Euclid's Algorithm?
Answer: For arbitrary numbers 4375, 3479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.