Highest Common Factor of 7520, 4691 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 7520, 4691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7520, 4691 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 7520, 4691 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 7520, 4691 is 1.
HCF(7520, 4691) = 1
HCF of 7520, 4691 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7520, 4691 is 1.
Highest Common Factor of 7520,4691 is 1
Step 1: Since 7520 > 4691, we apply the division lemma to 7520 and 4691, to get
7520 = 4691 x 1 + 2829
Step 2: Since the reminder 4691 ≠ 0, we apply division lemma to 2829 and 4691, to get
4691 = 2829 x 1 + 1862
Step 3: We consider the new divisor 2829 and the new remainder 1862, and apply the division lemma to get
2829 = 1862 x 1 + 967
We consider the new divisor 1862 and the new remainder 967,and apply the division lemma to get
1862 = 967 x 1 + 895
We consider the new divisor 967 and the new remainder 895,and apply the division lemma to get
967 = 895 x 1 + 72
We consider the new divisor 895 and the new remainder 72,and apply the division lemma to get
895 = 72 x 12 + 31
We consider the new divisor 72 and the new remainder 31,and apply the division lemma to get
72 = 31 x 2 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7520 and 4691 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(72,31) = HCF(895,72) = HCF(967,895) = HCF(1862,967) = HCF(2829,1862) = HCF(4691,2829) = HCF(7520,4691) .
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Frequently Asked Questions on HCF of 7520, 4691 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 7520, 4691?
Answer: HCF of 7520, 4691 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7520, 4691 using Euclid's Algorithm?
Answer: For arbitrary numbers 7520, 4691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.